Details of the Researcher

PHOTO

Tomoki Ozawa
Section
Advanced Institute for Materials Research
Job title
Professor
Degree

  • Ｐｈ．Ｄ．（イリノイ大学）

  • Ｍ．Ｓ．（イリノイ大学）

Research History 9

  • 2025/04 - Present
    Tohoku University　Advanced Institute for Materials Research　Deputy Director

  • 2024/04 - Present
    Tohoku University　Advanced Institute for Materials Research　Professor

  • 2020/02 - 2024/03
    Tohoku University　Advanced Institute for Materials Research　Associate Professor

  • 2019/10 - 2022/03
    JST PRESTO researcher (concurrent)

  • 2018/04 - 2020/01
    RIKEN　iTHEMS　Senior Research Scientist

  • 2018/01 - 2018/03
    Free University of Bruxelles　Physics of Complex Systems　Postdoctoral Researcher

  • 2015/04 - 2017/12
    University of Trento, BEC Center　Senior Postdoctoral Researcher

  • 2012/09 - 2015/03
    University of Trento, BEC Center　Postdoctoral Researcher

  • 2012/06 - 2012/08
    University of Illinois at Urbana-Champaign　Department of Physics　Postdoctoral Researcher

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Education 2

  • University of Illinois at Urbana-Champaign　Department of Physics

    2006/08 - 2012/05

  • The University of Tokyo　Faculty of Science　Department of Physics

    2002/04 - 2006/03

Committee Memberships 2

  • トヨタコンポン研究所　研究アドバイザー

    2024/04 - Present

  • American Physical Society　Editorial Board Member for Physical Review A

    2023/01 - 2025/12

Professional Memberships 2

  • American Physical Society

  • THE PHYSICAL SOCIETY OF JAPAN

Research Interests 5

  • Topological phases

  • Photonics

  • Ultracold atomic gas

  • Atomic, molecular, and optical physics

  • Condensed matter theory

Research Areas 2

  • Natural sciences / Semiconductors, optical and atomic physics /

  • Natural sciences / Magnetism, superconductivity, and strongly correlated systems /

Awards 11

  1. 丸文研究奨励賞

    2024/03　丸文財団

  2. 晝馬輝夫 光科学賞

    2024/03　光科学技術研究振興財団

  3. Asian Young Scientist Fellowship

    2023/10

  4. Tohoku University Distinguished Researcher

    2021/05　Tohoku University

  5. The Young Scientists' Award, The Commendation for Science and Technology by the Minister of Education, Culture, Sports, Science and Technology

    2021/04　MEXT

  6. Young Scientist Award, 2021 (Division 1)

    2021/03　The Physical Society of Japan

  7. Ohbu Research Incentive Award

    2020/03　RIKEN

  8. Outstanding Referee

    2017　American Physical Society

  9. Vijay R. Pandharipande Prize in Nuclear Physics

    2012　University of Illinois at Urbana-Champaign

  10. Excellence in Teaching Award

    2010　University of Illinois at Urbana-Champaign

  11. Excellence in Teaching Award

    2006　University of Illinois at Urbana-Champaign

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Papers 83

  1. Theory of Generalized Landau Levels and Its Implications for Non-Abelian States Peer-reviewed

    Zhao Liu, Bruno Mera, Manato Fujimoto, Tomoki Ozawa, Jie Wang

    Physical Review X　15　(3)　2025/07/16

    Publisher: American Physical Society (APS)

    DOI： 10.1103/1zg9-qbd6 　

    eISSN： 2160-3308

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    Landau levels (LLs) are cornerstones of the fractional quantum Hall effect, which is a paradigm of topologically ordered phases of matter. Predicting and understanding the emergence of fractional Chern insulators in a Chern band, to a large extent, relies on judging the similarity between the Chern band and LLs. In this work, we generalize the notion of LLs to Chern bands to allow for nonuniform quantum geometries while preserving certain geometric invariants. Mathematically, generalized LLs can be understood in terms of holomorphic curves and associated moving frames in the sense of Cartan. This formalism enables a thorough analytical discussion of their associated quantum geometries. In practical terms, generalized LLs allow for a systematic discussion of the geometric stability of fractional Chern insulators and provide useful guidance in material design. Approximating Chern bands as superpositions of a few generalized LLs and employing exact diagonalization, we numerically identify a universal geometric criterion for the non-Abelian Moore-Read state to be stabilized in Chern bands, providing useful guidance for searching for such phase in moiré materials. Moreover, a double-twisted bilayer graphene model at the second magic angle is used to suggest a possible experimental realization of generalized LLs and zero-field non-Abelian phases. More broadly, our results point to generalized LLs being an interdisciplinary research direction connecting Kähler geometry, topologically ordered phases, and moiré materials, which we expect will benefit the study of the geometric aspect of correlated phases in a more general sense.

  2. Geometrical responses of generalized Landau levels: Structure factor and the quantized Hall viscosity Peer-reviewed

    Carolina Paiva, Jie Wang, Tomoki Ozawa, Bruno Mera

    Physical Review B　112　(4)　2025/07/07

    Publisher: American Physical Society (APS)

    DOI： 10.1103/fbjs-tnm6 　

    ISSN： 2469-9950

    eISSN： 2469-9969

  3. Geometric contribution to adiabatic amplification in non-Hermitian systems Peer-reviewed

    Tomoki Ozawa, Henning Schomerus

    Physical Review Research　7　(1)　2025/02/18

    Publisher: American Physical Society (APS)

    DOI： 10.1103/physrevresearch.7.013173 　

    eISSN： 2643-1564

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    Concepts from non-Hermitian quantum mechanics have proven useful in understanding and manipulating a variety of classical systems, such as those encountered in optics, classical mechanics, and metamaterial design. Recently, the non-Hermitian analog of the Berry phase for adiabatic processes was experimentally measured. In non-Hermitian systems, the Berry phase can have an imaginary part, which contributes to the amplification or decay of the total wave intensity. When the imaginary part of the Berry curvature is zero, this geometric amplification factor is determined solely by the initial and final points of the adiabatic path in parameter space, and it does not depend on how these points are connected by the path. We list classes of non-Hermitian Hamiltonians where this path independence is guaranteed by suitable symmetries, and we find that, for some of these classes, the amplification factor can be written only in terms of the Petermann factors of the initial and final points. Our result can, in turn, be used to experimentally obtain the Petermann factor by observing how the norm of the wave function changes under adiabatic processes. We validate our theory using a couple of concrete examples of physical relevance. Published by the American Physical Society 2025

  4. Interaction-driven breakdown of Aharonov–Bohm caging in flat-band Rydberg lattices Peer-reviewed

    Tao Chen, Chenxi Huang, Ivan Velkovsky, Tomoki Ozawa, Hannah Price, Jacob P. Covey, Bryce Gadway

    Nature Physics　21　(2)　221-227　2025/01/10

    Publisher: Springer Science and Business Media LLC

    DOI： 10.1038/s41567-024-02714-7 　

    ISSN： 1745-2473

    eISSN： 1745-2481

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    Abstract Flat bands in condensed matter systems can host emergent states of matter, from insulating states in twisted bilayer graphene to fractionalized excitations in frustrated magnets and quantum Hall materials. A key phenomenon in certain flat-band systems is Aharonov–Bohm caging, where particles become localized due to destructive interference caused by gauge fields. Here we report on the experimental realization of highly tunable flat-band models populated by strongly interacting Rydberg atoms. By employing synthetic dimensions, we engineer a flat-band rhombic lattice with twisted boundaries and explore the control of Aharonov–Bohm caging during non-equilibrium dynamics through a tunable gauge field. Microscopic measurements of Rydberg pairs reveal the interaction-driven breakdown of Aharonov–Bohm caging in the limit of strong dipolar interactions, where lattice bands mix. In the limit of weak interactions, where caging persists, we observe effective magnetism arising from the interaction-driven mixing of degenerate flat-band states. These observations offer insights into emergent phenomena in synthetic quantum materials and expand our understanding of quantum many-body physics in engineered lattice systems.

  5. Relating the Hall conductivity to the many-body Chern number using Fermi’s Golden rule and Kramers–Kronig relations Peer-reviewed

    Nathan Goldman, Tomoki Ozawa

    Comptes Rendus. Physique　25　(G1)　289-302　2024/09/05

    Publisher: Cellule MathDoc/Centre Mersenne

    DOI： 10.5802/crphys.191 　

    eISSN： 1878-1535

  6. Uniqueness of Landau levels and their analogs with higher Chern numbers Peer-reviewed

    Bruno Mera, Tomoki Ozawa

    Physical Review Research　6　(3)　2024/09/03

    Publisher: American Physical Society (APS)

    DOI： 10.1103/physrevresearch.6.033238 　

    eISSN： 2643-1564

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    Landau levels are the eigenstates of a charged particle in two dimensions under a magnetic field and are at the heart of the integer and fractional quantum Hall effects, which are two prototypical phenomena showing topological features. Following recent discoveries of fractional quantum Hall phases in van der Waals materials, there is a rapid progress in understanding of the precise condition under which the fractional quantum Hall phases can be stabilized. It is now understood that the key to obtaining the fractional quantum Hall phases is the energy band whose eigenstates are holomorphic functions in both real and momentum space coordinates. Landau levels are indeed examples of such energy bands with an additional special property of having flat geometrical features. In this paper, we prove that, in fact, the only energy eigenstates having holomorphic wave functions with a flat geometry are the Landau levels and their higher Chern number analogs. Since it has been known that any holomorphic eigenstates can be constructed from the ones with a flat geometry such as the Landau levels, our uniqueness proof of the Landau levels allows one to construct any possible holomorphic eigenstate with which the fractional quantum Hall phases can be stabilized. Published by the American Physical Society 2024

  7. Bulk-entanglement spectrum correspondence in PT- and PC-symmetric topological insulators and superconductors Peer-reviewed

    Ryo Takahashi, Tomoki Ozawa

    Physical Review Research　6　(3)　2024/08/21

    Publisher: American Physical Society (APS)

    DOI： 10.1103/physrevresearch.6.033192 　

    eISSN： 2643-1564

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    In this study, we discuss a type of bulk-boundary correspondence, which holds for topological insulators and superconductors when the parity-time (PT) and/or parity-particle-hole (PC) symmetry are present. In these systems, even when the bulk topology is nontrivial, the edge spectrum is generally gapped, and thus the conventional bulk-boundary correspondence does not hold. We find that, instead of the edge spectrum, the single-particle entanglement spectrum becomes gapless when the bulk topology is nontrivial: i.e., the holds in PT- and/or PC-symmetric topological insulators and superconductors. After showing the correspondence using K-theoretic approach, we provide concrete models for each symmetry class up to three dimensions where nontrivial topology because of PT and/or PC is expected. An implication of our results is that, when the bulk topology under PT and/or PC symmetry is nontrivial, the noninteracting many-body entanglement spectrum is multiply degenerate in one dimension and is gapless in two or higher dimensions. Published by the American Physical Society 2024

  8. Mean-chiral displacement in coherently driven photonic lattices and its application to synthetic frequency dimensions Peer-reviewed

    Greta Villa, Iacopo Carusotto, Tomoki Ozawa

    Communications Physics　7　(1)　2024/07/17

    Publisher: Springer Science and Business Media LLC

    DOI： 10.1038/s42005-024-01727-1 　

    eISSN： 2399-3650

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    Abstract Characterizing topologically nontrivial photonic lattices by measuring their topological invariants is crucial in topological photonics. In conservative one-dimensional systems, a widely used observable to extract the winding number is the mean-chiral displacement. In many realistic photonic systems, however, losses can hardly be avoided, and little is known on how one can extend the mean-chiral displacement to a driven-dissipative context. Here we theoretically propose an experimentally viable method to directly detect the topological winding number of one-dimensional chiral photonic lattices. The method we propose is a generalization of the mean-chiral displacement to a driven-dissipative context with coherent illumination. By integrating the mean-chiral displacement of the steady state over the pump light frequency, one can obtain the winding number with a correction of the order of the loss rate squared. We demonstrate that this method can be successfully applied to lattices along synthetic frequency dimensions.

  9. Reconfigurable synthetic dimension frequency lattices in an integrated lithium niobate ring cavity Peer-reviewed

    Hiep X. Dinh, Armandas Balčytis, Tomoki Ozawa, Yasutomo Ota, Guanghui Ren, Toshihiko Baba, Satoshi Iwamoto, Arnan Mitchell, Thach G. Nguyen

    Communications Physics　7　(1)　2024/06/11

    Publisher: Springer Science and Business Media LLC

    DOI： 10.1038/s42005-024-01676-9 　

    eISSN： 2399-3650

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    Abstract Harnessing non-spatial properties of photons as if they represent an additional independent coordinate underpins the emerging synthetic dimension approach. It enables probing of higher-dimensional physical models within low-dimensional devices, such as on a planar chip where this method is relatively nascent. We demonstrate an integrated thin-film lithium niobate ring resonator that, under dynamic modulation, simulates a tight-binding model with its discrete frequency modes representing lattice sites. Inter-mode coupling, and the simulated lattice geometry, can be reconfigured by controlling the modulating signals. Up to a quasi-3D lattice connectivity with controllable gauge potentials has been achieved by simultaneous synchronized nearest-, second- and third-nearest-neighbor coupling, and verified by acquiring synthetic band structures. Development of synthetic frequency dimension devices in the thin-film lithium niobate photonic integration platform is a key step in increasing the complexity of topological models achievable on a chip, combining efficient electro-optic mode coupling with non-linear effects for long-range mode interactions.

  10. Two-dimensional lattice with an imaginary magnetic field Peer-reviewed

    Tomoki Ozawa, Tomoya Hayata

    Physical Review B　109　(8)　2024/02/08

    Publisher: American Physical Society (APS)

    DOI： 10.1103/physrevb.109.085113 　

    ISSN： 2469-9950

    eISSN： 2469-9969

  11. Density Dependent Gauge Field Inducing Emergent Su-Schrieffer-Heeger Physics, Solitons, and Condensates in a Discrete Nonlinear Schrödinger Equation Peer-reviewed

    W. N. Faugno, Mario Salerno, Tomoki Ozawa

    Physical Review Letters　132　(2)　2024/01/08

    Publisher: American Physical Society (APS)

    DOI： 10.1103/physrevlett.132.023401 　

    ISSN： 0031-9007

    eISSN： 1079-7114

  12. Drude weight and the many-body quantum metric in one-dimensional Bose systems Peer-reviewed

    G. Salerno, T. Ozawa, P. Törmä

    Physical Review B　108　(14)　2023/10/11

    Publisher: American Physical Society (APS)

    DOI： 10.1103/physrevb.108.l140503 　

    ISSN： 2469-9950

    eISSN： 2469-9969

  13. Measuring the adiabatic non-Hermitian Berry phase in feedback-coupled oscillators Peer-reviewed

    Yaashnaa Singhal, Enrico Martello, Shraddha Agrawal, Tomoki Ozawa, Hannah Price, Bryce Gadway

    Physical Review Research　5　(3)　2023/08/24

    Publisher: American Physical Society (APS)

    DOI： 10.1103/physrevresearch.5.l032026 　

    eISSN： 2643-1564

  14. Bulk-edge correspondence of Stiefel-Whitney and Euler insulators through the entanglement spectrum and cutting procedure Peer-reviewed

    Ryo Takahashi, Tomoki Ozawa

    Physical Review B　108　(7)　2023/08/11

    Publisher: American Physical Society (APS)

    DOI： 10.1103/physrevb.108.075129 　

    ISSN： 2469-9950

    eISSN： 2469-9969

  15. Edge-to-edge topological spectral transfer in diamond photonic lattices Peer-reviewed

    Gabriel Cáceres-Aravena, Bastián Real, Diego Guzmán-Silva, Paloma Vildoso, Ignacio Salinas, Alberto Amo, Tomoki Ozawa, Rodrigo A. Vicencio

    APL Photonics　8　(8)　2023/08/01

    Publisher: AIP Publishing

    DOI： 10.1063/5.0153770 　

    eISSN： 2378-0967

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    The transfer of information between topological edge states is a robust way of spatially manipulating spatial states in lattice environments. This method is particularly efficient when the edge modes are kept within the topological gap of the lattice during the transfer. In this work, we show experimentally the transfer of photonic modes between topological edge states located at opposite ends of a dimerized one-dimensional photonic lattice. We use a diamond lattice of coupled waveguides and show that the topological transfer is insensitive to the presence of a high density of states in the form of a flat band at an energy close to that of the edge states and prevails in the presence of a hopping impurity. We explore the dynamics in the waveguide lattice using a wavelength-scan method, where different input wavelengths translate into different effective lattice lengths. Our results offer an alternative way to the implementation of efficient transfer protocols based on active driving mechanisms.

  16. Synthetic mechanical lattices with synthetic interactions Peer-reviewed

    Ritika Anandwade, Yaashnaa Singhal, Sai Naga Manoj Paladugu, Enrico Martello, Michael Castle, Shraddha Agrawal, Ellen Carlson, Cait Battle-McDonald, Tomoki Ozawa, Hannah M. Price, Bryce Gadway

    Physical Review A　108　(1)　2023/07/28

    Publisher: American Physical Society (APS)

    DOI： 10.1103/physreva.108.012221 　

    ISSN： 2469-9926

    eISSN： 2469-9934

  17. Coexistence of stable and unstable population dynamics in a nonlinear non-Hermitian mechanical dimer Peer-reviewed

    Enrico Martello, Yaashnaa Singhal, Bryce Gadway, Tomoki Ozawa, Hannah M. Price

    Physical Review E　107　(6)　2023/06/26

    Publisher: American Physical Society (APS)

    DOI： 10.1103/physreve.107.064211 　

    ISSN： 2470-0045

    eISSN： 2470-0053

  18. 人工量子系の物性物理とトポロジカル物性 Invited

    小澤知己

    第67回物性若手夏の学校 講義ノート　188　2023/02

  19. Singular-connection approach to topological phases and resonant optical responses Peer-reviewed

    Bruno Mera, Tomoki Ozawa

    Physical Review B　106　(24)　2022/12/20

    Publisher: American Physical Society (APS)

    DOI： 10.1103/physrevb.106.245134 　

    ISSN： 2469-9950

    eISSN： 2469-9969

  20. Quantum Fisher information measurement and verification of the quantum Cramér–Rao bound in a solid-state qubit Peer-reviewed

    Min Yu, Yu Liu, Pengcheng Yang, Musang Gong, Qingyun Cao, Shaoliang Zhang, Haibin Liu, Markus Heyl, Tomoki Ozawa, Nathan Goldman, Jianming Cai

    npj Quantum Information　8　(1)　2022/12

    Publisher: Springer Science and Business Media LLC

    DOI： 10.1038/s41534-022-00547-x 　

    eISSN： 2056-6387

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    Abstract The quantum Cramér–Rao bound sets a fundamental limit on the accuracy of unbiased parameter estimation in quantum systems, relating the uncertainty in determining a parameter to the inverse of the quantum Fisher information. We experimentally demonstrate near saturation of the quantum Cramér–Rao bound in the phase estimation of a solid-state spin system, provided by a nitrogen-vacancy center in diamond. This is achieved by comparing the experimental uncertainty in phase estimation with an independent measurement of the related quantum Fisher information. The latter is independently extracted from coherent dynamical responses of the system under weak parametric modulations, without performing any quantum-state tomography. While optimal parameter estimation has already been observed for quantum devices involving a limited number of degrees of freedom, our method offers a versatile and powerful experimental tool to explore the Cramér–Rao bound and the quantum Fisher information in systems of higher complexity, as relevant for quantum technologies.

  21. Interaction-Induced Non-Hermitian Topological Phases from a Dynamical Gauge Field Peer-reviewed

    W. N. Faugno, Tomoki Ozawa

    Physical Review Letters　129　(18)　2022/10/24

    Publisher: American Physical Society (APS)

    DOI： 10.1103/physrevlett.129.180401 　

    ISSN： 0031-9007

    eISSN： 1079-7114

  22. Roadmap on topological photonics Peer-reviewed

    Hannah Price, Yidong Chong, Alexander Khanikaev, Henning Schomerus, Lukas J Maczewsky, Mark Kremer, Matthias Heinrich, Alexander Szameit, Oded Zilberberg, Yihao Yang, Baile Zhang, Andrea Alù, Ronny Thomale, Iacopo Carusotto, Philippe St-Jean, Alberto Amo, Avik Dutt, Luqi Yuan, Shanhui Fan, Xuefan Yin, Chao Peng, Tomoki Ozawa, Andrea Blanco-Redondo

    Journal of Physics: Photonics　4　(3)　032501-032501　2022/07/01

    Publisher: IOP Publishing

    DOI： 10.1088/2515-7647/ac4ee4 　

    eISSN： 2515-7647

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    Abstract Topological photonics seeks to control the behaviour of the light through the design of protected topological modes in photonic structures. While this approach originated from studying the behaviour of electrons in solid-state materials, it has since blossomed into a field that is at the very forefront of the search for new topological types of matter. This can have real implications for future technologies by harnessing the robustness of topological photonics for applications in photonics devices. This roadmap surveys some of the main emerging areas of research within topological photonics, with a special attention to questions in fundamental science, which photonics is in an ideal position to address. Each section provides an overview of the current and future challenges within a part of the field, highlighting the most exciting opportunities for future research and developments.

  23. Band structures under non-Hermitian periodic potentials: Connecting nearly-free and bi-orthogonal tight-binding models Peer-reviewed

    Ken Mochizuki, Tomoki Ozawa

    Physical Review B　105　(17)　2022/05/19

    Publisher: American Physical Society (APS)

    DOI： 10.1103/physrevb.105.174108 　

    ISSN： 2469-9950

    eISSN： 2469-9969

  24. Synthetic dimension band structures on a Si CMOS photonic platform Peer-reviewed

    Armandas Balčytis, Tomoki Ozawa, Yasutomo Ota, Satoshi Iwamoto, Jun Maeda, Toshihiko Baba

    Science Advances　8　(4)　2022/01/28

    Publisher: American Association for the Advancement of Science (AAAS)

    DOI： 10.1126/sciadv.abk0468 　

    eISSN： 2375-2548

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    Synthetic dimensions, which simulate spatial coordinates using nonspatial degrees of freedom, are drawing interest in topological science and other fields for modeling higher-dimensional phenomena on simple structures. We present the first realization of a synthetic frequency dimension on a silicon ring resonator integrated photonic device fabricated using a CMOS process. We confirm that its coupled modes correspond to a one-dimensional tight-binding model through acquisition of up to 280-GHz bandwidth optical frequency comb-like spectra and by measuring synthetic band structures. Furthermore, we realized two types of gauge potentials along the frequency dimension and probed their effects through the associated band structures. An electric field analog was produced via modulation detuning, whereas effective magnetic fields were induced using synchronized nearest- and second nearest–neighbor couplings. Creation of coupled mode lattices and two effective forces on a monolithic Si CMOS device represents a key step toward wider adoption of topological principles.

  25. Author Correction: Lasing in topological edge states of a one-dimensional lattice

    P. St-Jean, V. Goblot, E. Galopin, A. Lemaître, T. Ozawa, L. Le Gratiet, I. Sagnes, J. Bloch, A. Amo

    Nature Photonics　15　(11)　862-862　2021/07/07

    Publisher: Springer Science and Business Media LLC

    DOI： 10.1038/s41566-021-00846-3 　

    ISSN： 1749-4885

    eISSN： 1749-4893

  26. Photonic Topological Materials: feature introduction Invited

    Tomoki Ozawa, Ramy El-Ganainy, Alberto Amo

    Optical Materials Express　11　(6)　1592-1592　2021/06/01

    Publisher: The Optical Society

    DOI： 10.1364/ome.430428 　

    ISSN： 2159-3930

    eISSN： 2159-3930

  27. Spatial and spectral mode-selection effects in topological lasers with frequency-dependent gain Peer-reviewed

    Secl{\`i}, M., Ozawa, T., Capone, M., Carusotto, I.

    APL Photonics　6　(5)　050803-050803　2021/05/01

    Publisher: AIP Publishing

    DOI： 10.1063/5.0041124 　

    ISSN： 2378-0967

    eISSN： 2378-0967

  28. Artificial magnetic field for synthetic quantum matter without dynamical modulation Peer-reviewed

    Ozawa, T.

    Physical Review A　103　(3)　2021/03/19

    Publisher: American Physical Society (APS)

    DOI： 10.1103/PhysRevA.103.033318 　

    ISSN： 2469-9934 2469-9926

    eISSN： 2469-9934

  29. Relations between topology and the quantum metric for Chern insulators Peer-reviewed

    Ozawa, T., Mera, B.

    Physical Review B　104　(4)　2021

    DOI： 10.1103/PhysRevB.104.045103 　

    ISSN： 2469-9969 2469-9950

  30. Engineering geometrically flat Chern bands with Fubini-Study Kähler structure Peer-reviewed

    Mera, B., Ozawa, T.

    Physical Review B　104　(11)　2021

    DOI： 10.1103/PhysRevB.104.115160 　

    ISSN： 2469-9969 2469-9950

  31. Kähler geometry and Chern insulators: Relations between topology and the quantum metric KÄHLER GEOMETRY and CHERN INSULATORS: ... BRUNO MERA and TOMOKI OZAWA Peer-reviewed

    Mera, B., Ozawa, T.

    Physical Review B　104　(4)　2021

    DOI： 10.1103/PhysRevB.104.045104 　

    ISSN： 2469-9969 2469-9950

  32. Erratum: Photonic topological materials feature issue (Optical Materials Express (2021) 11:4 (1119) DOI: 10.1364/OME.427194)

    Amo, A., Ozawa, T., El-Ganainy, R.

    Optical Materials Express　11　(5)　1410-1410　2021

    DOI： 10.1364/OME.11.001410 　

    ISSN： 2159-3930

  33. Direct observation of photonic Landau levels and helical edge states in strained honeycomb lattices Peer-reviewed

    Jamadi, O., Rozas, E., Salerno, G., Mili?evi?, M., Ozawa, T., Sagnes, I., Lema{\^i}tre, A., Le Gratiet, L., Harouri, A., Carusotto, I., Bloch, J., Amo, A.

    Light: Science and Applications　9　(1)　2020/12

    Publisher: Springer Science and Business Media LLC

    DOI： 10.1038/s41377-020-00377-6 　

    ISSN： 2047-7538 2095-5545

    eISSN： 2047-7538

  34. Semi-Dirac Transport and Anisotropic Localization in Polariton Honeycomb Lattices Peer-reviewed

    Real, B., Jamadi, O., Mili?evi?, M., Pernet, N., St-Jean, P., Ozawa, T., Montambaux, G., Sagnes, I., Lema{\^i}tre, A., Le Gratiet, L., Harouri, A., Ravets, S., Bloch, J., Amo, A.

    Physical Review Letters　125　(18)　2020/10/28

    Publisher: American Physical Society (APS)

    DOI： 10.1103/PhysRevLett.125.186601 　

    ISSN： 1079-7114 0031-9007

    eISSN： 1079-7114

  35. Synthetic dimensions and topological chiral currents in mesoscopic rings Peer-reviewed

    Price, H.M., Ozawa, T., Schomerus, H.

    Physical Review Research　2　(3)　2020/07/16

    Publisher: American Physical Society (APS)

    DOI： 10.1103/PhysRevResearch.2.032017 　

    ISSN： 2643-1564

    eISSN： 2643-1564

  36. 人工次元を用いたトポロジカル物性の研究 Invited Peer-reviewed

    小澤知己

    日本物理学会誌　75　(4)　201　2020/04

  37. Experimental measurement of the quantum geometric tensor using coupled qubits in diamond Peer-reviewed

    Yu, M., Yang, P., Gong, M., Cao, Q., Lu, Q., Liu, H., Zhang, S., Plenio, M.B., Jelezko, F., Ozawa, T., Goldman, N., Cai, J.

    National Science Review　7　(2)　254-260　2020/02/01

    Publisher: Oxford University Press (OUP)

    DOI： 10.1093/nsr/nwz193 　

    ISSN： 2053-714X 2095-5138

    eISSN： 2053-714X

  38. Active topological photonics Peer-reviewed

    Yasutomo Ota, Kenta Takata, Tomoki Ozawa, Alberto Amo, Zhetao Jia, Boubacar Kante, Masaya Notomi, Yasuhiko Arakawa, Satoshi Iwamoto

    Nanophotonics　9　(3)　547-567　2020/01/28

    Publisher: Walter de Gruyter GmbH

    DOI： 10.1515/nanoph-2019-0376 　

    ISSN： 2192-8614

    eISSN： 2192-8614

  39. Probing localization and quantum geometry by spectroscopy Peer-reviewed

    Ozawa, T., Goldman, N.

    Physical Review Research　1　(3)　032019(R)　2019/11

    DOI： 10.1103/PhysRevResearch.1.032019 　

    ISSN： 2643-1564

  40. Exploring topological photonics in synthetic dimensions

    Hannah M. Price, Tomoki Ozawa, Nathan Goldman, Oded Zilberberg, Iacopo Carusotto

    2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019　2019/06/01

    Publisher: Institute of Electrical and Electronics Engineers Inc.

    DOI： 10.1109/CLEOE-EQEC.2019.8872904 　

  41. Topological and geometrical effects in the bulk hall response of driven-dissipative photonic lattices

    Tomoki Ozawa, Iacopo Carusotto

    2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019　2019/06/01

    Publisher: Institute of Electrical and Electronics Engineers Inc.

    DOI： 10.1109/CLEOE-EQEC.2019.8873225 　

  42. Type-III and Tilted Dirac Cones Emerging from Flat Bands in Photonic Orbital Graphene Peer-reviewed

    Mili?evi?, M., Montambaux, G., Ozawa, T., Jamadi, O., Real, B., Sagnes, I., Lema{\^i}tre, A., Le Gratiet, L., Harouri, A., Bloch, J., Amo, A.

    Physical Review X　9　(3)　031010　2019

    DOI： 10.1103/PhysRevX.9.031010 　

    ISSN： 2160-3308

  43. Topological quantum matter in synthetic dimensions Invited Peer-reviewed

    Ozawa, T., Price, H.M.

    Nature Reviews Physics　1　(5)　349-357　2019

    DOI： 10.1038/s42254-019-0045-3 　

    ISSN： 2522-5820

  44. Measuring quantized circular dichroism in ultracold topological matter Peer-reviewed

    Asteria, L., Tran, D.T., Ozawa, T., Tarnowski, M., Rem, B.S., Fl{\"a}schner, N., Sengstock, K., Goldman, N., Weitenberg, C.

    Nature Physics　15　(5)　449-454　2019

    DOI： 10.1038/s41567-019-0417-8 　

    ISSN： 1745-2481 1745-2473

  45. Topological photonics Invited Peer-reviewed

    Ozawa, T., Price, H.M., Amo, A., Goldman, N., Hafezi, M., Lu, L., Rechtsman, M.C., Schuster, D., Simon, J., Zilberberg, O., Carusotto, I.

    Reviews of Modern Physics　91　(1)　015006　2019

    DOI： 10.1103/RevModPhys.91.015006 　

    ISSN： 1539-0756 0034-6861

  46. Steady-state Hall response and quantum geometry of driven-dissipative lattices Peer-reviewed

    Ozawa, T.

    Physical Review B　97　(4)　041108(R)　2018

    DOI： 10.1103/PhysRevB.97.041108 　

    ISSN： 2469-9969 2469-9950

  47. Extracting the quantum metric tensor through periodic driving Peer-reviewed

    Ozawa, T., Goldman, N.

    Physical Review B　97　(20)　201117(R)　2018

    DOI： 10.1103/PhysRevB.97.201117 　

    ISSN： 2469-9969 2469-9950

  48. Lasing in topological edge states of a one-dimensional lattice Peer-reviewed

    P. St-Jean, V. Goblot, E. Galopin, A. Lemaitre, T. Ozawa, L. Le Gratiet, I. Sagnes, J. Bloch, A. Amo

    NATURE PHOTONICS　11　(10)　651-+　2017/10

    DOI： 10.1038/s41566-017-0006-2 　

    ISSN： 1749-4885

    eISSN： 1749-4893

  49. Klein tunneling in driven-dissipative photonic graphene Peer-reviewed

    Tomoki Ozawa, Alberto Amo, Jacqueline Bloch, Iacopo Carusotto

    PHYSICAL REVIEW A　96　(1)　2017/07

    DOI： 10.1103/PhysRevA.96.013813 　

    ISSN： 2469-9926

    eISSN： 2469-9934

  50. Propagating edge states in strained honeycomb lattices Peer-reviewed

    Grazia Salerno, Tomoki Ozawa, Hannah M. Price, Iacopo Carusotto

    PHYSICAL REVIEW B　95　(24)　2017/06

    DOI： 10.1103/PhysRevB.95.245418 　

    ISSN： 2469-9950

    eISSN： 2469-9969

  51. Spin-orbit coupling in a hexagonal ring of pendula Peer-reviewed

    Grazia Salerno, Alice Berardo, Tomoki Ozawa, Hannah M. Price, Ludovic Taxis, Nicola M. Pugno, Iacopo Carusotto

    NEW JOURNAL OF PHYSICS　19　(5)　2017/05

    DOI： 10.1088/1367-2630/aa6c03 　

    ISSN： 1367-2630

  52. Orbital Edge States in a Photonic Honeycomb Lattice Peer-reviewed

    M. Milicevic, T. Ozawa, G. Montambaux, I. Carusotto, E. Galopin, A. Lemaitre, L. Le Gratiet, I. Sagnes, J. Bloch, A. Amo

    PHYSICAL REVIEW LETTERS　118　(10)　2017/03

    DOI： 10.1103/PhysRevLett.118.107403 　

    ISSN： 0031-9007

    eISSN： 1079-7114

  53. Synthetic dimensions for cold atoms from shaking a harmonic trap Peer-reviewed

    Hannah M. Price, Tomoki Ozawa, Nathan Goldman

    PHYSICAL REVIEW A　95　(2)　2017/02

    DOI： 10.1103/PhysRevA.95.023607 　

    ISSN： 2469-9926

    eISSN： 2469-9934

  54. Synthetic Dimensions with Magnetic Fields and Local Interactions in Photonic Lattices Peer-reviewed

    Tomoki Ozawa, Iacopo Carusotto

    PHYSICAL REVIEW LETTERS　118　(1)　2017/01

    DOI： 10.1103/PhysRevLett.118.013601 　

    ISSN： 0031-9007

    eISSN： 1079-7114

  55. Optical-lattice-assisted magnetic phase transition in a spin-orbit-coupled Bose-Einstein condensate Peer-reviewed

    Giovanni I. Martone, Tomoki Ozawa, Chunlei Qu, Sandro Stringari

    PHYSICAL REVIEW A　94　(4)　2016/10

    DOI： 10.1103/PhysRevA.94.043629 　

    ISSN： 2469-9926

    eISSN： 2469-9934

  56. Measurement of Chern numbers through center-of-mass responses Peer-reviewed

    H. M. Price, O. Zilberberg, T. Ozawa, I. Carusotto, N. Goldman

    PHYSICAL REVIEW B　93　(24)　2016/06

    DOI： 10.1103/PhysRevB.93.245113 　

    ISSN： 2469-9950

    eISSN： 2469-9969

  57. Quantum Hall effect in momentum space Peer-reviewed

    Tomoki Ozawa, Hannah M. Price, Iacopo Carusotto

    PHYSICAL REVIEW B　93　(19)　2016/05

    DOI： 10.1103/PhysRevB.93.195201 　

    ISSN： 2469-9950

    eISSN： 2469-9969

  58. Synthetic dimensions in integrated photonics: From optical isolation to four-dimensional quantum Hall physics Peer-reviewed

    Tomoki Ozawa, Hannah M. Price, Nathan Goldman, Oded Zilberberg, Iacopo Carusotto

    PHYSICAL REVIEW A　93　(4)　2016/04

    DOI： 10.1103/PhysRevA.93.043827 　

    ISSN： 2469-9926

    eISSN： 2469-9934

  59. Floquet topological system based on frequency-modulated classical coupled harmonic oscillators Peer-reviewed

    Grazia Salerno, Tomoki Ozawa, Hannah M. Price, Iacopo Carusotto

    PHYSICAL REVIEW B　93　(8)　2016/02

    DOI： 10.1103/PhysRevB.93.085105 　

    ISSN： 2469-9950

    eISSN： 2469-9969

  60. Momentum-space Landau levels in driven-dissipative cavity arrays Peer-reviewed

    Andrei C. Berceanu, Hannah M. Price, Tomoki Ozawa, Iacopo Carusotto

    PHYSICAL REVIEW A　93　(1)　2016/01

    DOI： 10.1103/PhysRevA.93.013827 　

    ISSN： 1050-2947

    eISSN： 1094-1622

  61. Momentum-space Landau levels in arrays of coupled ring resonators Peer-reviewed

    Hannah M. Price, Andrei C. Berceanu, Tomoki Ozawa, Iacopo Carusotto

    ADVANCES IN PHOTONICS OF QUANTUM COMPUTING, MEMORY, AND COMMUNICATION IX　9762　2016

    DOI： 10.1117/12.2218615 　

    ISSN： 0277-786X

  62. Towards four-dimensional photonics Peer-reviewed

    Hannah M. Price, Tomoki Ozawa, Nathan Goldman, Oded Zilberberg, Iacopo Carusotto

    ADVANCES IN PHOTONICS OF QUANTUM COMPUTING, MEMORY, AND COMMUNICATION IX　9762　2016

    DOI： 10.1117/12.2218539 　

    ISSN： 0277-786X

  63. Four-Dimensional Quantum Hall Effect with Ultracold Atoms Peer-reviewed

    H. M. Price, O. Zilberberg, T. Ozawa, I. Carusotto, N. Goldman

    PHYSICAL REVIEW LETTERS　115　(19)　2015/11

    DOI： 10.1103/PhysRevLett.115.195303 　

    ISSN： 0031-9007

    eISSN： 1079-7114

  64. ULTRACOLD ATOMS Feel the gauge Peer-reviewed

    Tomoki Ozawa

    NATURE PHYSICS　11　(10)　801-802　2015/10

    DOI： 10.1038/nphys3447 　

    ISSN： 1745-2473

    eISSN： 1745-2481

  65. Edge states in polariton honeycomb lattices Peer-reviewed

    M. Milicevic, T. Ozawa, P. Andreakou, I. Carusotto, T. Jacqmin, E. Galopin, A. Lemaitre, L. Le Gratiet, I. Sagnes, J. Bloch, A. Amo

    2D MATERIALS　2　(3)　2015/09

    DOI： 10.1088/2053-1583/2/3/034012 　

    ISSN： 2053-1583

  66. How to directly observe Landau levels in driven-dissipative strained honeycomb lattices Peer-reviewed

    Grazia Salerno, Tomoki Ozawa, Hannah M. Price, Iacopo Carusotto

    2D MATERIALS　2　(3)　2015/09

    DOI： 10.1088/2053-1583/2/3/034015 　

    ISSN： 2053-1583

  67. Momentum-space Harper-Hofstadter model Peer-reviewed

    Tomoki Ozawa, Hannah M. Price, Iacopo Carusotto

    PHYSICAL REVIEW A　92　(2)　2015/08

    DOI： 10.1103/PhysRevA.92.023609 　

    ISSN： 1050-2947

    eISSN： 1094-1622

  68. Artificial magnetic fields in momentum space in spin-orbit-coupled systems Peer-reviewed

    Hannah M. Price, Tomoki Ozawa, Nigel R. Cooper, Iacopo Carusotto

    PHYSICAL REVIEW A　91　(3)　2015/03

    DOI： 10.1103/PhysRevA.91.033606 　

    ISSN： 1050-2947

    eISSN： 1094-1622

  69. Quantum Mechanics with a Momentum-Space Artificial Magnetic Field Peer-reviewed

    Hannah M. Price, Tomoki Ozawa, Iacopo Carusotto

    PHYSICAL REVIEW LETTERS　113　(19)　2014/11

    DOI： 10.1103/PhysRevLett.113.190403 　

    ISSN： 0031-9007

    eISSN： 1079-7114

  70. Chandrasekhar-Clogston limit and critical polarization in a Fermi-Bose superfluid mixture Peer-reviewed

    Tomoki Ozawa, Alessio Recati, Marion Delehaye, Frederic Chevy, Sandro Stringari

    PHYSICAL REVIEW A　90　(4)　2014/10

    DOI： 10.1103/PhysRevA.90.043608 　

    ISSN： 2469-9926

    eISSN： 2469-9934

  71. Anomalous and Quantum Hall Effects in Lossy Photonic Lattices Peer-reviewed

    Tomoki Ozawa, Iacopo Carusotto

    PHYSICAL REVIEW LETTERS　112　(13)　2014/04

    DOI： 10.1103/PhysRevLett.112.133902 　

    ISSN： 0031-9007

    eISSN： 1079-7114

  72. Condensation of bosons with Rashba-Dresselhaus spin-orbit coupling Peer-reviewed

    Gordon Baym, Tomoki Ozawa

    17TH INTERNATIONAL CONFERENCE ON RECENT PROGRESS IN MANY-BODY THEORIES (MBT17)　529　2014

    DOI： 10.1088/1742-6596/529/1/012006 　

    ISSN： 1742-6588

  73. Discontinuities in the First and Second Sound Velocities at the Berezinskii-Kosterlitz-Thouless Transition Peer-reviewed

    Tomoki Ozawa, Sandro Stringari

    PHYSICAL REVIEW LETTERS　112　(2)　2014/01

    DOI： 10.1103/PhysRevLett.112.025302 　

    ISSN： 0031-9007

    eISSN： 1079-7114

  74. Supercurrent and dynamical instability of spin-orbit-coupled ultracold Bose gases Peer-reviewed

    Ozawa, T., Pitaevskii, L.P., Stringari, S.

    Physical Review A - Atomic, Molecular, and Optical Physics　87　(6)　2013/06

    DOI： 10.1103/PhysRevA.87.063610 　

    ISSN： 1050-2947 1094-1622

  75. Condensation transition of ultracold bose gases with rashba spin-orbit coupling Peer-reviewed

    Ozawa, T., Baym, G.

    Physical Review Letters　110　(8)　2013/02

    DOI： 10.1103/PhysRevLett.110.085304 　

    ISSN： 0031-9007 1079-7114

  76. Erratum: Striped states in weakly trapped ultracold Bose gases with Rashba spin-orbit coupling [Phys. Rev. A85, 063623 (2012)]

    Tomoki Ozawa, Gordon Baym

    Physical Review A　86　(1)　2012/07/26

    DOI： 10.1103/physreva.86.019905 　

    ISSN： 1050-2947

    eISSN： 1094-1622

  77. Stability of Ultracold Atomic Bose Condensates with Rashba Spin-Orbit Coupling against Quantum and Thermal Fluctuations Peer-reviewed

    Tomoki Ozawa, Gordon Baym

    PHYSICAL REVIEW LETTERS　109　(2)　2012/07

    DOI： 10.1103/PhysRevLett.109.025301 　

    ISSN： 0031-9007

  78. Striped states in weakly trapped ultracold Bose gases with Rashba spin-orbit coupling Peer-reviewed

    Tomoki Ozawa, Gordon Baym

    PHYSICAL REVIEW A　85　(6)　2012/06

    DOI： 10.1103/PhysRevA.85.063623 　

    ISSN： 1050-2947

  79. Ground-state phases of ultracold bosons with Rashba-Dresselhaus spin-orbit coupling Peer-reviewed

    Tomoki Ozawa, Gordon Baym

    PHYSICAL REVIEW A　85　(1)　2012/01

    DOI： 10.1103/PhysRevA.85.013612 　

    ISSN： 1050-2947

  80. Renormalization of interactions of ultracold atoms in simulated Rashba gauge fields Peer-reviewed

    Tomoki Ozawa, Gordon Baym

    PHYSICAL REVIEW A　84　(4)　2011/10

    DOI： 10.1103/PhysRevA.84.043622 　

    ISSN： 1050-2947

  81. Plastid-to-nucleus retrograde signals are essential for the expression of nuclear starch biosynthesis genes during amyloplast differentiation in tobacco BY-2 cultured cells

    Enami, K., Ozawa, T., Motohashi, N., Nakamura, M., Tanaka, K., Hanaoka, M.

    Plant Physiology　157　(1)　2011

    DOI： 10.1104/pp.111.178897 　

    ISSN： 1532-2548 0032-0889

  82. Population imbalance and pairing in the BCS-BEC crossover of three-component ultracold fermions Peer-reviewed

    Tomoki Ozawa, Gordon Baym

    PHYSICAL REVIEW A　82　(6)　2010/12

    DOI： 10.1103/PhysRevA.82.063615 　

    ISSN： 1050-2947

  83. Two-slit diffraction with highly charged particles: Niels Bohr's consistency argument that the electromagnetic field must be quantized Peer-reviewed

    Gordon Baym, Tomoki Ozawa

    PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA　106　(9)　3035-3040　2009/03

    DOI： 10.1073/pnas.0813239106 　

    ISSN： 0027-8424

Show all ︎Show first 5

Books and Other Publications 2

  1. Quantum Fluids of Light and Matter, Proceedings of the International School of Physics "Enrico Fermi"

    Alberto Bramati, Iacopo Carusotto, Cristiano Ciuti

    IOS Press　2025

    ISBN: 9781643685748

  2. 研究者、生活を語る : 「両立」の舞台裏

    岩波書店編集部

    岩波書店　2024/10

    ISBN: 9784000616614

Presentations 147

  1. What is quantum geometry? Invited

    Tomoki Ozawa

    Nishida group seminar at Institute of Science Tokyo　2025/06/17

  2. Quantum geometry in two-dimensional systems Invited

    Tomoki Ozawa

    University of Washington - Tohoku University Quantum Materials Workshop　2025/06/10

  3. Developments of Topological Physics: Going Beyond Dimensions and Materials Invited

    Tomoki Ozawa

    AIMR Seminar, Tohoku University　2025/06/06

  4. What is quantum geometry? Invited

    小澤知己

    東京大学工学部齊藤研究室「AI x 量子セミナー」　2025/05/22

  5. トポロジカル物性の展開：次元と物質を超えて Invited

    小澤知己

    フロンティアサロン　2025/05/09

  6. Recent developments in physics of synthetic dimensions Invited

    Tomoki Ozawa

    Kharkiv Quantum Seminar　2025/03/25

  7. Introduction to Topological Insulators Invited

    Tomoki Ozawa

    Short course for "Topology and Matter" workgroup at University of Lille

  8. 二次元物質における量子幾何学的効果 Invited

    小澤知己

    量子物質研究会、セイコーインスツル新世代研究財団（ATF）　2025/03/13

  9. Topological ‘phases’ for atoms, photons, and classical systems Invited

    Tomoki Ozawa

    Asian Young Scientist Webinar “The Biggest Question for My Science” Series, The Biggest Question of the Future of Topological Physics　2025/01/21

  10. Quantum metric: from perspectives on optical response and topology Invited

    Tomoki Ozawa

    New Twists of Quantum Geometry, PCTS, Princeton University

  11. 研究者夫婦の生活：海外での経験から Invited

    小澤知己

    ISSP Women’s Week, 東京大学物性研究所

  12. 非エルミート系の断熱増幅における幾何学的効果 Invited

    小澤知己

    CRESTトポロジー領域合同セミナー, 京都工芸繊維大学 松ケ崎キャンパス　2024/11/28

  13. 因果とは何かー哲学・数学・物理から考えるー 富士通×東北大学 発見知能共創研究所の取り組み Invited

    小澤知己

    RIKEN iTHEMSのアウトリーチについての研究会2024、東北大学 知の館

  14. トポロジカル量子ウォーク：平均カイラル変位を例として Invited

    小澤知己

    立命館大学量子ウォークセミナー　2024/11/07

  15. Bulk-entanglement spectrum correspondence in PT- and PC-symmetric topological insulators Invited

    Tomoki Ozawa

    Beijing-Tokyo-Xi’an Joint Workshop on Quantum Matters, Xi’an, China

  16. Quantum metric and topology Invited

    Tomoki Ozawa

    Tohoku Forum for Creativity Emerging Perspective Program 2024 “Toward Quantum Computing”, TOKYO ELECTRON House of Creativity, Tohoku University　2024/10/04

  17. Introduction to Quantum Metric Invited

    Tomoki Ozawa

    Universality of Strongly Correlated Few–body and Many–body Quantum Systems, TOKYO ELECTRON House of Creativity　2024/09/26

  18. Quantum metric and Topology Invited

    Tomoki Ozawa

    NCTS-iTHEMS Joint Workshop on Matters to Spacetime: Symmetries and Geometry, National Center for Theoretical Sciences, Physics Division, National Taiwan University

  19. Non-Hermitian Aharonov-Bohm effect under imaginary magnetic fields Invited

    Tomoki Ozawa

    META 2024 - 14th International Conference on Metamaterials, Photonic Crystals and Plasmonics, Toyama, Japan

  20. Introduction to the Quantum Metric Invited

    Tomoki Ozawa

    Geometry and non-adiabatic responses in non-equilibrium systems, Max Planck Institute for the Physics of Complex Systems, Dresden, Germany

  21. 量子計量について Invited

    小澤知己

    東北大学大学院工学研究科応用物理学専攻 松枝研究室セミナー　2024/06/12

  22. Introduction to the Quantum Metric Invited

    Tomoki Ozawa

    Intercontinental Binodal Workshop on Flat Bands and high-order Van Hove singularities, IBS Center for Theoretical Physics of Complex Systems, Daejeon, Korea

  23. 量子計量とトポロジカルバンド構造 Invited

    小澤知己

    「トポロジカル材料科学と革新的機能創出」共催シンポジウム講演、日本物理学会 2024年春季大会

  24. Aharonov-Bohm effect in non-Hermitian systems Invited

    Tomoki Ozawa

    German-Japanese Workshop co-sponsored by the Cluster of Excellence ct.qmat and Japan Science and Technology Agency, University of Würzburg

  25. 物理学における因果律概念：物理学史からの概観 Invited

    小澤知己

    因果とは何か—哲学・数学・物理から考える, 東北大学 知の館　2024/02/19

  26. トポロジカル・フォトニクスとトポロジカル・メカニクス Invited

    小澤知己

    慶應大学物理学科談話会　2024/01/11

  27. 量子計量とは何か Invited

    小澤知己

    慶應大学物理学科山本研究室セミナー　2024/01/10

  28. Ultracold atoms with density-difference-dependent hoppings: coexistence of condensate and solitons, emergent SSH physics, and many-body non-Hermitian topology Invited

    Tomoki Ozawa

    Seminar at Pitaevskii BEC Center, Trento, Italy　2023/12/21

  29. Recent developments in synthetic-dimension photonics Invited

    Tomoki Ozawa

    ANZCOP-AIP Summer Meeting 2023

  30. Universality of topological physics: from electrons and photons to geophysics and biological matter Invited

    Tomoki Ozawa

    Seminar at SKCM2, Hiroshima University　2023/11/09

  31. Inter-disciplinary and inter-dimensional study of topological phases of matter Invited

    Tomoki Ozawa

    Asian Young Scientist Fellowship Annual Conference 2023　2023/10/16

  32. 二次元虚磁場中の荷電粒子

    小澤知己, 早田智也

    日本物理学会第78回年次大会

  33. Probing topology and geometry through periodic shaking in AMO systems Invited

    Tomoki Ozawa

    Quantum Adiabatic Control and Shortcuts (QUACS)　2023/08/30

  34. Probing bulk topology of one dimensional synthetic frequency lattice Invited

    Tomoki Ozawa

    META 2023 - 13th International Conference on Metamaterials, Photonic Crystals and Plasmonics,

  35. 冷却原子系と光共振器系を中心とした人工次元物性の進展 Invited

    小澤知己

    極限宇宙ワークショップ～実験と理論の協奏に向けて：固体物質系から量子・冷却気体系まで　2023/05/16

  36. Some topics on topology and quantum geometry related to twisted bi-layer graphene Invited

    Tomoki Ozawa

    Workshop: Emerging Platforms for Quantum Computing　2023/04/11

  37. Bulk-edge correspondence in the entanglement spectrum of Stiefel-Whitney and Euler insulators Invited

    Tomoki Ozawa

    Workshop “Trends in Topological Materials Science and beyond”　2023/03/15

  38. Universality of topological physics in quantum and classical systems

    Tomoki Ozawa

    Interdisciplinary Science Conference in Okinawa (ISCO 2023) — Physics and Mathematics meet Medical Science　2023/02/28

  39. Quantum metric and topological insulators Invited

    Tomoki Ozawa

    JITCP Seminar, the University of Hong Kong　2022/10/20

  40. Topological insulator and its universality in quantum and classical systems Invited

    Tomoki Ozawa

    JAGFOS (Japanese-American-German Frontiers of Science symposium)　2022/09

  41. Synthetic dimensions and topological band structures in atomic and optical matter Invited

    Tomoki Ozawa

    The 15th Asia Pacific Physics Conference (APPC15)　2022/08/24

  42. 人工量子系の物性物理とトポロジカル物性 Invited

    2022/08/02

  43. Topological band structures in AMO physics Invited

    Tomoki Ozawa

    International School of Physics "Enrico Fermi”, Course 209 - Quantum Fluids of Light and Matter - QFLM2020　2022/07

  44. Physical and mathematical relations between quantum metric and topology of Chern insulators Invited

    Tomoki Ozawa

    Seminar at Center for Theoretical Physics of Complex Systems, IBS, Daejeon, South Korea　2022/05/31

  45. Recent Progress in Synthetic Dimensions and Topological Structures in Silicon Photonics Invited

    Tomoki Ozawa

    CLEO 2022, San Jose　2022/05/20

  46. Relations between quantum metric and topology in geometrically flat Chern insulators Invited

    Tomoki Ozawa

    Korean Physical Society Spring Meeting 2022　2022/04/21

  47. Introduction to Topological Insulators Invited

    Tomoki Ozawa

    Online Lecture Series, RIKEN iTHEMS　2022/04

  48. Introduction to topological photonics Invited

    Tomoki Ozawa

    APS March meeting　2022/03/13

  49. Quantum metric and topology Invited

    Tomoki Ozawa

    Bulk-Edge/Boundary-Correspondence 2022　2022/02/13

  50. Quantum metric of topological and non-topological insulators in AMO and other systems Invited

    Tomoki Ozawa

    Seminar at Non-Equilibrium Working group of RIKEN iTHEMS　2021/12/20

  51. トポロジカルバンド構造と光：トポロジカル絶縁体との共通点と相違点 Invited

    小澤知己

    学振125委員会第272回研究会「光とトポロジー（実空間、波数空間、光と物質の相互作用）」　2021/12/17

  52. 古典振動⼦系を⽤いた⾮線形⾮エルミートハミルトニアンの実現 Invited

    小澤知己

    開放系トポロジーの探求　2021/11/25

  53. Topological photonics and its future prospects Invited

    Tomoki Ozawa

    Huawei STW 2021　2021/10/15

  54. トポロジカルバンド構造の理論と応用 Invited

    小澤知己

    CREST・さきがけ「トポロジー」公開シンポジウム　2021/09/28

  55. Relations between topology and the quantum metric for Chern insulators

    Tomoki Ozawa, Bruno Mera

    JPS 76th Annual Meeting, The Physical Society of Japan　2021/09/20

  56. Artificial magnetic field for synthetic quantum matter without dynamical modulation

    Tomoki Ozawa

    Bose-Einstein Condensation 2021　2021/09

  57. Quantum geometry for ultracold atoms and other AMO systems Invited

    Tomoki Ozawa

    Virtual KITP program on “Interacting Topological Matter”　2021/08/21

  58. Quantum geometry of topological insulators Invited

    Tomoki Ozawa

    Joint workshop between SUSTech & AIMR　2021/07/15

  59. ニュートン力学を使って量子力学の研究をする

    小澤知己

    RIKEN iTHEMSのアウトリーチについての研究会2021　2021/07/12

  60. Chern insulators, quantum metric, and the Kähler geometry Invited

    Tomoki Ozawa

    AIMR Math group seminar, Tohoku University　2021/06/29

  61. Topological physics in synthetic quantum and classical matter Invited

    Tomoki Ozawa

    Seminar at ISSP, University of Tokyo　2021/06/11

  62. チャーン絶縁体におけるチャーン数と量子体積の関係とケーラー幾何 Invited

    Tomoki Ozawa

    Seminar at YITP, Kyoto University　2021/04/19

  63. 人工次元とトポロジカル量子物質 Invited

    小澤知己

    統計物理学懇談会（第８回）　2021/03/31

  64. 冷却原子系やその他の人工量子系における幾何学的効果、特に量子計量の研究 Invited

    小澤知己

    日本物理学会 第76回年次大会　2021/03/13

  65. Artificial magnetic field for ultracold atomic gases without dynamical modulation

    Tomoki Ozawa

    JPS 76th Annual Meeting, The Physical Society of Japan　2021/03/12

  66. 量子系・古典系での人工トポロジカル物質 Invited

    Tomoki Ozawa

    2020/12/21

  67. Topological band structure in quantum and classical systems Invited

    Tomoki Ozawa

    CREST Research Seminar on "Theoretical studies of topological phases of matter,” hosted by Prof. Yasuyuki Kawahigashi, University of Tokyo　2020/11/27

  68. Topological insulator physics in synthetic quantum matter and beyond Invited

    Tomoki Ozawa

    Tohoku Quantum Alliance x OIST Quantum Meeting　2020/11/24

  69. 物理学とトポロジー：半導体・地球物理から生命現象まで

    小澤知己

    東北大＆理研 第２回連携ワークショップ Math meets Quantum Materials　2020/09/29

  70. 人工次元と人工磁場：電荷のない原子にローレンツ力を与える方法

    小澤知己

    第2回冷却原子研究会「アトムの会」　2020/09/29

  71. Topological phenomena beyond solid-state systems Invited

    Tomoki Ozawa

    MSM-AIMR Joint Online Workshop 2020　2020/08/28

  72. Extracting the quantum metric tensor through periodic driving Invited

    Tomoki Ozawa

    Active Photonic Platforms XII, SPIE Optics and Photonics　2020/08

  73. Geometry of quantum states, its meaning, and how one can measure it Invited

    Tomoki Ozawa

    AIMR Math Group Seminar, hosted by Mathematical Science group at AIMR, Tohoku University　2020/04/24

  74. Non-Hermitian topology in active nematics Invited

    Tomoki Ozawa

    Topological phenomena in non-Hermitian and non-equilibrium systems, Tohoku University, Japan　2020/02

  75. Topological quantum matter with synthetic dimensions Invited

    Tomoki Ozawa

    Seminar at IBS-CCES, Seoul National University, South Korea　2020/01/17

  76. Synthetic dimensions and topological quantum matter Invited

    Tomoki Ozawa

    Third hypermaterial seminar, Chuo University　2019/12/15

  77. Probing topology, geometry, and localization through fluctuation-dissipation theorem in ultracold atomic gases and beyond Invited

    Tomoki Ozawa

    East Asia Joint Seminars on Statistical Physics 2019, Chinese Academy of Science, Institute of Physics, Beijing, China　2019/10

  78. Probing topology and geometry through periodic shaking in ultracold atomic gases and beyond Invited

    Tomoki Ozawa

    The Fourth Kyoto-Beijing-Tokyo Workshop on Ultracold Atomic Gases, Yukawa Institute for Theoretical Physics, Kyoto University, Japan　2019/10

  79. Topological phases in Atomic, Molecular, and Optical physics Invited

    Tomoki Ozawa

    Okinawa School in Physics 2019: Coherent Quantum Dynamics, Okinawa　2019/09/24

  80. Probing quantum geometry and localization through periodic driving

    Tomoki Ozawa

    Bose-Einstein Condensation 2019　2019/09

  81. (Revisiting) ultracold Bose gases with Rashba spin-orbit coupling

    Tomoki Ozawa

    Workshop on Quantum Mixtures and celebration of the 70th anniversary of Sandro Stringari　2019/07/16

  82. Theory and experiment of multi-orbital photonic graphene Invited

    Tomoki Ozawa

    Workshop on Topological Photonics and Beyond 2019, Tianjin, China　2019/07

  83. Topological and geometrical effects in the bulk Hall response of driven-dissipative photonic lattices

    Tomoki Ozawa

    2019 Conference on Lasers & Electro-Optics / Europe and European Quantum Electronics Conference (CLEO / Europe-EQEC)　2019/06/27

  84. Topological photonics with synthetic dimensions Invited

    Tomoki Ozawa

    Recent Advances in Topological Photonics, PCS IBS, Daejeon, South Korea　2019/06

  85. Quantum geometric tensor in ultracold gases and other synthetic quantum systems Invited

    Tomoki Ozawa

    Seminar at Hatano Laboratory, Institute of Industrial Science, University of Tokyo　2019/05/22

  86. トポロジカル物性物理の広がり Invited

    小澤知己

    学術フロンティア講義「数理科学の研究フロンティア：宇宙、物質、生命、情報」　2019/05

  87. 極低温の世界～宇宙で一番冷たい場所で何が起きるのか～

    小澤知己

    理化学研究所一般公開　2019/04/20

  88. Topological photonics and topological laser Invited

    Tomoki Ozawa

    2019 Annual Meeting of the Physical Society of Japan　2019/03

  89. Topological photonics and topological laser Invited

    Tomoki Ozawa

    Seminar at Nanoscience Center for Photonics, Electronics, and Materials Engineering, Institute of Industrial Science, the University of Tokyo　2019/02/15

  90. Topology and Chiral Physics in Atomic, Molecular, and Optical Systems International-presentation Invited

    Tomoki Ozawa

    Workshop on Recent Developments in Chiral Matter and Topology　2018/12

  91. Theory and experiment of multi-orbital photonic graphene International-presentation Invited

    Tomoki Ozawa

    Variety and universality of bulk-edge correspondence in topological phases: From solid state physics to transdisciplinary concepts [ BEC2018X ]　2018/12

  92. Quantum Hall effects in driven-dissipative systems: from photonic cavity arrays to classical mechanical oscillators Invited

    Tomoki Ozawa

    YITP Seminar, Yukawa Institute for Theoretical Physics, Kyoto University　2018/11/27

  93. Developments of Topological Laser Invited

    Tomoki Ozawa

    New Quantum Phenomena in Non-Equilibrium or Non-Hermitian Systems　2018/11

  94. Quantum Hall effects in driven-dissipative systems: from photonic cavity arrays to classical mechanical oscillators Invited

    Tomoki Ozawa

    Seminar at Condensed Matter Theory Laboratory, RIKEN, Saitama　2018/10/23

  95. Topological photonics and the four-dimensional quantum Hall effect Invited

    Tomoki Ozawa

    Nanoscience and Quantum Physics seminar, Tokyo Institute of Technology　2018/09/21

  96. Measuring quantum geometric tensor using time modulation

    Tomoki Ozawa, Nathan Goldman

    2018 Autumn meeting of the Physical Society of Japan　2018/09

  97. Quantum geometric tensor of topological bands and its physical consequences International-presentation Invited

    Tomoki Ozawa

    Progress in the mathematics of topological states of matter　2018/08

  98. Introduction to topological band structure Invited

    Tomoki Ozawa

    RIKEN STatistical And Mathematical Physics Group (STAMP) Seminar, RIKEN, Saitama　2018/07/06

  99. Topological Photonics and the four-dimensional quantum Hall effect Invited

    Tomoki Ozawa

    SUURI-COOL (Sendai) seminar, AIMR, Tohoku University　2018/07/03

  100. Simulating transport in driven-dissipative systems International-presentation

    Tomoki Ozawa

    Quantum Transport with Cold Atoms Conference (QTCA)　2018/07

  101. 古典物理と量子物理を結ぶ数理：古典系での量子ホール効果

    小澤知己

    デンソーITラボ - 理研 産学連携交流会　2018/06/29

  102. Introduction to Topological Photonics Invited

    Tomoki Ozawa

    Seminar at Keio Topological Science Project, Keio University, Kanagawa　2018/06/06

  103. 古典物理における量子ホール効果

    小澤知己

    RIKEN iTHEMSのアウトリーチについての研究会2018　2018/06

  104. 古典物理と量子物理をつなぐ数理

    小澤知己

    理化学研究所一般公開　2018/04/21

  105. Artificial gauge fields and topological phenomena in synthetic quantum systems Invited

    Tomoki Ozawa

    Seminar at Spin Physics Theory Research Team, RIKEN, Saitama　2018/04/12

  106. Driven-dissipative Hall effect in photonic and classical mechanical lattices Invited

    Tomoki Ozawa

    Theoretical Physics Seminar, University of Birmingham, UK　2018/03/15

  107. Driven-dissipative Hall effect in photonic and classical mechanical lattices International-presentation Invited

    Tomoki Ozawa

    Meetings of the Belgian Quantum Physics Initiative　2018/02

  108. Synthetic dimensions with multi-mode ring resonators International-presentation Invited

    Tomoki Ozawa

    Synthetic dimensions in quantum engineered systems　2017/11

  109. Prospects of Topological Photonics Invited

    Tomoki Ozawa

    Seminar at University of Tsukuba　2017/10/27

  110. Synthetic dimensions and four-dimensional quantum Hall effect in photonics International-presentation Invited

    Tomoki Ozawa

    Photonic Topological Insulators　2017/09

  111. Introductory course in Quantum Topology in Condensed Matter Invited

    Tomoki Ozawa

    Vienna Doctoral Program on Complex Quantum Systems (CoQuS), the Vienna University of Technology　2017/06

  112. Synthetic dimensions in ultracold gases and photonics International-presentation Invited

    Tomoki Ozawa

    The 19th International Conference on Recent Progress in Many-Body Theories　2017/06

  113. Synthetic dimensions in ultracold gases and photonics International-presentation

    Tomoki Ozawa

    Quantum Fluids of Light and Matter　2017/05

  114. Synthetic dimensions in photonics International-presentation Invited

    Tomoki Ozawa

    Quantum Nanophotonics 2017　2017/03

  115. Synthetic dimensions in ultracold atoms and photonics International-presentation Invited

    Tomoki Ozawa

    INO Annual Symposium 2017　2017/02

  116. Artificial gauge fields in ultracold gases and photonics Invited

    Tomoki Ozawa

    Seminar at LPMMC, Grenoble, France　2016/12/06

  117. Synthetic dimensions in photonics Invited

    Tomoki Ozawa

    Annual assembly of SiQuro project, Trento, Italy　2016/09/16

  118. Synthetic dimensions in ultracold atoms and photonics International-presentation Invited

    Tomoki Ozawa

    AQuS 2016 - Workshop on Analog Quantum Simulators for Many-Body Dynamics　2016/09

  119. Quantum Hall effect in momentum space in harmonically trapped topological lattice models International-presentation Invited

    Tomoki Ozawa

    Synthetic Topological Quantum Matter　2016/08

  120. Synthetic dimensions in ultracold atoms and photons International-presentation Invited

    Tomoki Ozawa

    Workshop - Recent theoretical developments in the physics of cold atoms　2016/08

  121. Synthetic dimensions in multi-mode ring-resonator arrays International-presentation Invited

    Tomoki Ozawa

    META’16 - the 7th International Conference on Metamaterials, Photonic Crystals and Plasmonics　2016/07

  122. Synthetic dimensions in multi-mode ring-resonator arrays International-presentation

    Tomoki Ozawa

    The 8th International Conference on Spontaneous Coherence in Excitonic Systems　2016/04

  123. Synthetic Dimensions in Integrated Photonics International-presentation Invited

    Tomoki Ozawa

    TopoDays 2016 - Topological effects in Photonics　2016/04

  124. Quantum Hall effect in momentum space Invited

    Tomoki Ozawa

    Seminar at Quantum Condensate Research Team at RIKEN, Wako, Saitama　2016/03/09

  125. Momentum-space artificial magnetic field in the trapped Harper-Hofstadter model International-presentation

    Tomoki Ozawa

    Topological effects and synthetic gauge/magnetic fields for atoms and photons　2015/09

  126. Four dimensional quantum Hall effect with ultracold gases and photonics International-presentation

    Tomoki Ozawa

    Topological effects and synthetic gauge/magnetic fields for atoms and photons　2015/09

  127. Introduction to topological insulators for mathematicians Invited

    Tomoki Ozawa

    Math-Physics Joint Seminar, Trento, Italy　2015/06/17

  128. Wave propagation in honeycomb lattices Invited

    Tomoki Ozawa

    SiQuro course on Quantum optics　2015/05

  129. Quantum and Anomalous Hall Effects in Lossy Photonic Lattices International-presentation Invited

    Tomoki Ozawa

    International Winter School and Workshop on Strongly correlated fluids of light and matter　2015/01

  130. Artificial gauge fields in ultracold gases Invited

    Tomoki Ozawa

    Seminar at Keio University, Kanagawa　2014/12/19

  131. Momentum-space magnetic field in the trapped Harper-Hofstadter model Invited

    Tomoki Ozawa

    Munich - Trento meeting, Garching, Germany　2014/12/04

  132. Quantum Mechanics with Momentum-Space Artificial Magnetic Field International-presentation

    Tomoki Ozawa

    XVIII Training Course in the Physics of Strongly Correlated Systems　2014/10

  133. Quantum Hall Effect and Transport Phenomena in Lossy Photonic Lattices International-presentation Invited

    Tomoki Ozawa

    2014 SIAM Conference on Nonlinear Waves and Coherent Structures　2014/08

  134. Artificial Gauge Fields in Real and Momentum Space International-presentation

    Tomoki Ozawa

    BEC 2014 Quantum Gases and Quantum Coherence　2014/05

  135. Ultracold Bose gases with Rashba spin-orbit coupling Invited

    Tomoki Ozawa

    RIKEN Seminar, Wako, Saitama　2014/04/16

  136. Properties of photonic graphene: quantum Hall effect and transport phenomena International-presentation

    Tomoki Ozawa

    The 7th International Conference on Spontaneous Coherence in Excitonic Systems　2014/04

  137. Berry curvature and quantum Hall effects in photonic lattices International-presentation Invited

    Tomoki Ozawa

    iTHES Mini-Workshop on Cloaking, Photonic Lattice & Metamaterial　2014/04

  138. Second sound and the BKT transition Invited

    Tomoki Ozawa

    Roma - Trento Joint Meeting, Trento　2014/02/20

  139. Supercurrent and Dynamical Instability of Spin-Orbit Coupled BEC International-presentation

    Tomoki Ozawa

    Workshop ‘New magnetic field frontiers in atomic/molecular and solid-state physics'　2013/05

  140. Supercurrent and Dynamical Instability of Spin-Orbit Coupled BEC International-presentation

    Tomoki Ozawa

    Newspin3 Conference　2013/04

  141. Supercurrent and Dynamical Instability of Spin-Orbit Coupled BEC International-presentation

    Tomoki Ozawa

    INO Annual Symposium　2013/03

  142. Ultracold bosons with Rashba-Dresselhaus spin-orbit coupling Invited

    Tomoki Ozawa

    Seminar at Nuclear Theory Group Seminar, University of Tokyo　2012/07/31

  143. Effective interaction and ground state phases of bosons with synthetic Rashba spin- orbit coupling International-presentation Invited

    Tomoki Ozawa

    The Third Todai-Riken Workshop on the BEC and QCD　2012/02

  144. Population imbalance and pairing in the BCS-BEC crossover of three-component ultracold fermions International-presentation

    Tomoki Ozawa

    APS March meeting　2011/03

  145. Population Imbalance and Pairing in BCS-BEC Crossover of Three-Component Ultra- cold fermions International-presentation

    Tomoki Ozawa

    Les Houches Physics School　2010/07

  146. Three-component ultracold Fermi gas; coexistence of magnetism and superfluidity — Simulating dense QCD Invited

    Tomoki Ozawa

    Seminar at Theoretical hadron physics group, University of Tokyo　2010/01/19

  147. Do Photons Exist? — Niels Bohr’s Argument Invited

    Tomoki Ozawa

    Seminar at ECT*, Trento, Italy　2009/04/22

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Research Projects 7

  1. Geometrical effects in non-Hermitian quantum systems

    Offer Organization: Japan Society for the Promotion of Science

    System: Grants-in-Aid for Scientific Research

    Category: Grant-in-Aid for Scientific Research (B)

    Institution: Tohoku University

    2024/04 - 2028/03

  2. 量子幾何とトポロジーを用いたAMO量子技術の開発

    小澤知己

    Offer Organization: JST

    System: さきがけ

    2023/10 - 2027/03

  3. 自己駆動する集団におけるカイラル輸送現象の研究

    早田 智也, 川口 喬吾, 小澤 知己

    Offer Organization: 日本学術振興会

    System: 科学研究費助成事業 基盤研究(B)

    Category: 基盤研究(B)

    Institution: 慶應義塾大学

    2021/04 - 2024/03

  4. Study of localization and topology through quantum metric and quantum geometric tensor

    Offer Organization: Japan Society for the Promotion of Science

    System: Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)

    Category: Grant-in-Aid for Scientific Research (B)

    Institution: Institute of Physical and Chemical Research

    2020/04 - 2024/03

  5. Topological physics and its applications in atomic, molecular, and optical physics

    Tomoki Ozawa

    Offer Organization: JST

    System: PRESTO

    2019/10 - 2023/03

  6. Theoretical study of high dimensional physical phenomena in ultracold atomic gases Competitive

    Tomoki Ozawa

    Offer Organization: Japan Society for the Promotion of Science

    System: KAKENHI Research Activity Start-up

    2018/08 - 2020/03

  7. Novel method for realizing artificial magnetic fields in ultracold atomic gases Competitive

    Tomoki Ozawa

    Offer Organization: RIKEN

    System: Incentive Research Projects

    2018 - 2019

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Teaching Experience 6

  1. Quantum simulation and topological physics in synthetic quantum materials　Tokyo Institute of Technology

  2. An Introduction to Topological Phases of Matter　トレント大学

  3. Statistical Physics　イリノイ大学アーバナ・シャンペーン校

  4. Quantum Mechanics I　イリノイ大学アーバナ・シャンペーン校

  5. College Physics: Mechanics & Heat　イリノイ大学アーバナ・シャンペーン校

  6. University Physics: Thermal & Quantum Physics　イリノイ大学アーバナ・シャンペーン校

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