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Hiroaki Matsueda

Section

Graduate School of Engineering

Job title

Professor

Degree

researchmap

https://researchmap.jp/matsueda

J-GLOBAL ID

201601003830838514

Research History 7

2020/04 - Present

Tohoku University　Graduate School of Engineering Department of Applied Physics
2015/02 - 2020/03

National Institute of Technology, Sendai College　Advanced Course of Information and Electronics System Engineering　Professor
2009/04 - 2015/01

Sendai National College of Technology
2007/03 - 2009/03

Sendai National College of Technology
2005/11 - 2007/03

東北大学大学院　理学研究科物理学専攻　助手
2005/01 - 2005/10

Tohoku University　Institute for Materials Research
2003/04 - 2004/12

Institute of Materials Research, Tohoku University

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Committee Memberships 2

日本物理学会　領域11運営委員

2013/04 - 2014/03
日本物理学会　領域8運営委員

2010/05 - 2011/04

Professional Memberships 3

high-Tc forum
APS
THE PHYSICAL SOCIETY OF JAPAN

Research Interests 16

光誘起相転移
スピン電荷分離
Bethe仮説法
情報幾何学
量子情報理論
複合励起演算子法
強相関電子系
大規模並列計算
密度行列くりこみ群
画像処理
量子重力
共形場理論
特異値分解
テンソルネットワーク変分法
ホログラフィーくりこみ群
エンタングルメント

Research Areas 2

Natural sciences / Magnetism, superconductivity, and strongly correlated systems /
Natural sciences / Mathematical physics and basic theory /

Awards 1

研究奨励賞

2015　石田記念財団

Papers 28

Spectral Properties of Composite Excitations in the t-J Model Peer-reviewed

Takashi Otaki, Yuta Yahagi, Hiroaki Matsueda

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN　86　(8)　2017/08

DOI： 10.7566/JPSJ.86.084709 　

ISSN： 0031-9015
Inverse Mellin Transformation of Continuous Singular Value Decomposition: A Route to Holographic Renormalization Peer-reviewed

Hiroaki Matsueda

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN　85　(11)　114001(1)-114001(6)　2016/11

DOI： 10.7566/JPSJ.85.114001 　

ISSN： 0031-9015
Comment on "Snapshot Spectrum and Critical Phenomenon for Two-Dimensional Classical Spin Systems" [J. Phys. Soc. Jpn. 83, 114002 (2014)] Peer-reviewed

Hiroaki Matsueda, Ching Hua Lee, Yoichiro Hashizume

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN　85　(8)　086001(1)-086001(1)　2016/08

DOI： 10.7566/JPSJ.85.086001 　

ISSN： 0031-9015
Photoinduced Phase Transition in Charge Order Systems-Charge Frustration and Interplay with Lattice Peer-reviewed

Hiroshi Hashimoto, Hiroaki Matsueda, Hitoshi Seo, Sumio Ishihara

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN　84　(11)　113702　2015/11

DOI： 10.7566/JPSJ.84.113702 　

ISSN： 0031-9015
Proper encoding for snapshot-entropy scaling in two-dimensional classical spin models Peer-reviewed

Hiroaki Matsueda, Dai Ozaki

PHYSICAL REVIEW E　92　(4)　042167(1)-042167(10)　2015/10

DOI： 10.1103/PhysRevE.92.042167 　

ISSN： 1539-3755

eISSN： 1550-2376
Exact Mapping from Singular Value Spectrum of a Class of Fractal Images to Entanglement Spectrum of One-Dimensional Free Fermions Peer-reviewed

Hiroaki Matsueda, Ching Hua Lee

PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014)　1648　2015

DOI： 10.1063/1.4912481 　

ISSN： 0094-243X
Exact Mapping from Singular-Value Spectrum of Fractal Images to Entanglement Spectrum of One-Dimensional Quantum Systems Peer-reviewed

Ching Hua Lee, Yuki Yamada, Tatsuya Kumamoto, Hiroaki Matsueda

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN　84　(1)　013001　2015/01

DOI： 10.7566/JPSJ.84.013001 　

ISSN： 0031-9015
Photo-Induced Dynamics in Charge-Frustrated Systems Peer-reviewed

Hiroshi Hashimoto, Hiroaki Matsueda, Hitoshi Seo, Sumio Ishihara

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN　83　(12)　123703　2014/12

DOI： 10.7566/JPSJ.83.123703 　

ISSN： 0031-9015
Tensor network and a black hole Peer-reviewed

Hiroaki Matsueda, Masafumi Ishihara, Yoichiro Hashizume

PHYSICAL REVIEW D　87　(6)　066002　2013/03

DOI： 10.1103/PhysRevD.87.066002 　

ISSN： 1550-7998

eISSN： 1550-2368
Photoinduced spin-order destructions in one-dimensional extended Hubbard model Peer-reviewed

Hantao Lu, Shigetoshi Sota, Hiroaki Matsueda, Janez Bonca, Takami Tohyama

24TH IUPAP CONFERENCE ON COMPUTATIONAL PHYSICS (IUPAP-CCP 2012)　454　012079(1)-012079(7)　2013

DOI： 10.1088/1742-6596/454/1/012079 　

ISSN： 1742-6588

eISSN： 1742-6596
Enhanced Charge Order in a Photoexcited One-Dimensional Strongly Correlated System Peer-reviewed

Hantao Lu, Shigetoshi Sota, Hiroaki Matsueda, Janez Bonca, Takami Tohyama

PHYSICAL REVIEW LETTERS　109　(19)　197401　2012/11

DOI： 10.1103/PhysRevLett.109.197401 　

ISSN： 0031-9007

eISSN： 1079-7114
Tensor Network and Black Hole Peer-reviewed

Hiroaki Matsueda, Masafumi Ishihara, Yoichiro Hashizume

Physical Review D - Particles, Fields, Gravitation and Cosmology　87　(6)　2012/08/01

DOI： 10.1103/PhysRevD.87.066002 　

ISSN： 1550-7998 1550-2368
Holographic entanglement entropy in Suzuki-Trotter decomposition of spin systems Peer-reviewed

Hiroaki Matsueda

PHYSICAL REVIEW E　85　(3)　031101(1)-031101(12)　2012/03

DOI： 10.1103/PhysRevE.85.031101 　

ISSN： 1539-3755

eISSN： 1550-2376
APPLICATION OF DENSITY MATRIX RENORMALIZATION GROUP METHOD TO PHOTOINDUCED PHENOMENA IN STRONGLY CORRELATED ELECTRON SYSTEMS

Hiroaki Matsueda

FRONTIERS IN QUANTUM INFORMATION RESEARCH: DECOHERENCE, ENTANGLEMENT, ENTROPY, MPS AND DMRG　4　227-264　2012

ISSN： 1793-7299
Relaxation Dynamics of Photocarriers in One-Dimensional Mott Insulators Coupled to Phonons Peer-reviewed

Hiroaki Matsueda, Shigetoshi Sota, Takami Tohyama, Sadamichi Maekawa

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN　81　(1)　013701　2012/01

DOI： 10.1143/JPSJ.81.013701 　

ISSN： 0031-9015
Transient spectra of photo-excited states in double exchange model Peer-reviewed

Yu Kanamori, Hiroaki Matsueda, Sumio Ishihara

LXIII YAMADA CONFERENCE ON PHOTO-INDUCED PHASE TRANSITION AND COOPERATIVE PHENOMENA (PIPT3)　148　2009

DOI： 10.1088/1742-6596/148/1/012060 　

ISSN： 1742-6588
Enhancement of phonon effects in photoexcited states of one-dimensional Mott insulators Peer-reviewed

Hiroaki Matsueda, Akihiro Ando, Takami Tohyama, Sadamichi Maekawa

PHYSICAL REVIEW B　77　(19)　193112(1)-193112(4)　2008/05

DOI： 10.1103/PhysRevB.77.193112 　

ISSN： 2469-9950

eISSN： 2469-9969
Enhancement of phonon effects in photoexcited states of one-dimensional Mott insulators Peer-reviewed

Hiroaki Matsueda, Akihiro Ando, Takami Tohyama, Sadamichi Maekawa

Physical Review B - Condensed Matter and Materials Physics　77　(19)　2008/02/27

DOI： 10.1103/PhysRevB.77.193112 　

ISSN： 1098-0121 1550-235X
Effect of Electron-Phonon Interaction on Optical Properties in One-Dimensional Mott Insulators Peer-reviewed

Takami Tohyama, Hiroaki Matsueda

PROGRESS OF THEORETICAL PHYSICS SUPPLEMENT　(176)　165-181　2008

ISSN： 0375-9687
Photoinduced charge and spin dynamics in strongly correlated electron systems Peer-reviewed

Hiroaki Matsueda, Sumio Ishihara

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN　76　(8)　083703　2007/08

DOI： 10.1143/JPSJ.76.083703 　

ISSN： 0031-9015
Anomalous temperature dependence of the single-particle spectrum in the organic conductor TTF-TCNQ Peer-reviewed

N. Bulut, H. Matsueda, T. Tohyama, S. Maekawa

PHYSICAL REVIEW B　74　(11)　2006/09

DOI： 10.1103/PhysRevB.74.113106 　

ISSN： 1098-0121
Electron-phonon coupling and spin-charge separation in one-dimensional Mott insulators Peer-reviewed

H. Matsueda, T. Tohyama, S. Maekawa

Physical Review B - Condensed Matter and Materials Physics　74　(24)　2006

DOI： 10.1103/PhysRevB.74.241103 　

ISSN： 1098-0121 1550-235X
Electron-phonon coupling and spin-charge separation in one-dimensional Mott insulators Peer-reviewed

Hiroaki Matsueda, Takami Tohyama, Sadamichi Maekawa

PHYSICAL REVIEW B　74　(24)　241103(R)(1)-241103(R)(4)　2005/11/03

DOI： 10.1103/PhysRevB.74.241103 　

ISSN： 2469-9950

eISSN： 2469-9969
Temperature dependence of spinon and holon excitations in one-dimensional Mott insulators Peer-reviewed

Hiroaki Matsueda, Nejat Bulut, Takami Tohyama, Sadamichi Maekawa

PHYSICAL REVIEW B　72　(7)　075136(1)-075136(7)　2005/05/27

DOI： 10.1103/PhysRevB.72.075136 　

ISSN： 1098-0121
Excitonic effect on the optical response in the one-dimensional two-band Hubbard model Peer-reviewed

H Matsueda, T Tohyama, S Maekawa

PHYSICAL REVIEW B　71　(15)　2005/04

DOI： 10.1103/PhysRevB.71.153106 　

ISSN： 2469-9950

eISSN： 2469-9969
Excitonic effect on the optical response in the one-dimensional two-band Hubbard model Peer-reviewed

H. Matsueda, T. Tohyama, S. Maekawa

Physical Review B - Condensed Matter and Materials Physics　71　(15)　2005

DOI： 10.1103/PhysRevB.71.153106 　

ISSN： 1098-0121 1550-235X
Dynamical density matrix renormalization group study of photoexcited states in one-dimensional Mott insulators Peer-reviewed

H. Matsueda, T. Tohyama, S. Maekawa

Physical Review B - Condensed Matter and Materials Physics　70　(3)　1-33102　2004/07

DOI： 10.1103/PhysRevB.70.033102 　

ISSN： 0163-1829
Dynamical density matrix renormalization group study of photoexcited states in one-dimensional Mott insulators Peer-reviewed

H Matsueda, T Tohyama, S Maekawa

PHYSICAL REVIEW B　70　(3)　2004/07

DOI： 10.1103/PhysRevB.70.033102 　

ISSN： 2469-9950

eISSN： 2469-9969

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Misc. 41

Quantum Singular Value Decomposition of Correlation Matrix and Holography in One-Dimensional Heisenberg Model

Kohei Ohgane, Tatsuya Kumamoto, Hiroaki Matsueda

2020/11/30

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We present singular value decomposition of spin correlation matrix defined from the ground state of one-dimensional antiferromagnetic quantum Heisenberg model. We find that the decomposition creates a data set that coinsides with various domain excitations from classical antiferromagnetic state. We determine the scaling relation for the singular value as a function of the domain size. The nature of the singular value decomposition is thus to reconstruct all possible information about appropriate basis and corresponding weight of the ground-state wavefunction. We discuss implication of the present results in terms of the previous snapshot analysis for classical ferromagnetic spin models and various holographic issues.
Dynamics of photoinduced phonon entanglement generation between remote electron-phonon systems

Kunio Ishida, Hiroaki Matsueda

2020/05/29

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The generation of phonon entanglement between photoirradiated remote systems is numerically studied. Analysis by the quantum mutual information reveals that laser pulse irradiation induces phonon entanglement with a certain incubation period, which is determined by the creation time of phonons. This behavior is consistent with the motion of composite modes of the system, which are derived from the Heisenberg equation of motion for the amplitude operator of the Stokes light. These results show that the dynamics of the phonon entanglement can be observed by time-resolved spectroscopy.
Image-processing the topological charge density in the CPN-1 model

Yuya Abe, Kenji Fukushima, Yoshimasa Hidaka, Hiroaki Matsueda, Koichi Murase, Shoichi Sasaki

PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS　2020　(1)　2020/01

DOI： 10.1093/ptep/ptz134 　

ISSN： 2050-3911
Banados-Teitelboim-Zanelli Black Hole in the Information Geometry

Hiroaki Matsueda, Tatsuo Suzuki

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN　86　(10)　2017/10

DOI： 10.7566/JPSJ.86.104001 　

ISSN： 0031-9015
Singular-Value-Decomposition Analysis of Associative Memory in a Neural Network

Tatsuya Kumamoto, Mao Suzuki, Hiroaki Matsueda

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN　86　(2)　2017/02

DOI： 10.7566/JPSJ.86.024005 　

ISSN： 0031-9015
Random-fractal Ansatz for the configurations of two-dimensional critical systems

Ching Hua Lee, Dai Ozaki, Hiroaki Matsueda

PHYSICAL REVIEW E　94　(6)　2016/12

DOI： 10.1103/PhysRevE.94.062144 　

ISSN： 2470-0045

eISSN： 2470-0053
Analytic Optimization of a MERA network and its Relevance to Quantum Integrability and Wavelet

Hiroaki Matsueda

2016/08/07

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I present an example of how to analytically optimize a multiscale entanglement renormalization ansatz for a finite antiferromagnetic Heisenberg chain. For this purpose, a quantum-circuit representation is taken into account, and we construct the exactly entangled ground state so that a trivial IR state is modified sequentially by operating separated entangler layers (monodromy operators) at each scale. The circuit representation allows us to make a simple understanding of close relationship between the entanglement renormalization and quantum integrability. We find that the entangler should match with the $R$-matrix, not a simple unitary, and also find that the optimization leads to the mapping between the Bethe roots and the Daubechies wavelet coefficients.
Comment on "Low-Temperature Magnetic Properties of the Kondo Lattice Model in One Dimension"

Hiroaki Matsueda

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN　84　(4)　2015/09/23

DOI： 10.7566/JPSJ.84.044702 　

ISSN： 0031-9015
Hessian potential for Fefferman-Graham metric

Hiroaki Matsueda

2015/08/26

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The Fefferman-Graham metric is frequently used for derivation of the first law of the entanglement thermodynamics. On ther other hand, the entanglement thermodynamics is well formulated by the Hessian geometry. The aim of this work is to relate them with each other by finding the corresponding Hessian potential. We find that the deformation of the bulk Hessian potential for the pure AdS spacetime behaves as a source potential of the boundary Fisher metric, and the deformation coincides with the Fefferman-Graham metric. A peculiar feature different from related works is that we need not to use the Ryu-Takayanagi formula for the above derivation. The canonical parameter space in the Hessian geometry is a kind of the model parameter space, rather than the real classical spacetime in the usual setup of the AdS/CFT correspondence. However, the underlying mathematical structure is the same as that of the AdS/CFT correspondence. This suggests the presence of more global class of holographic transformation.
Correspondence between causality in flat Minkowski spacetime and entanglement in thermofield-double state: Hessian-geometrical study

Hiroaki Matsueda

2015/08/19

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We examine the Hessian potential that derives the flat Minkowski spacetime in $(1+1)$-dimension. The entanglement thermodynamics by the Hessian geometry enables us to obtain the entanglement entropy of a corresponding quantum state by means of holography. We find that the positivity of the entropy leads to the presence of past and future causal cones in the Minkowski spacetime. We also find that the quantum state is equivalent to the thermofield-double state, and then the entropy is proportional to the temperature. The proportionality is consistent with previous holographic works. The present Hessian geometrical approach captures that the causality in the classical side is converted into quantum entanglement inherent in the thermofield dynamics.
Hessian geometry and entanglement thermodynamics

Hiroaki Matsueda

2015/08/11

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We reconstruct entanglement thermodynamics by means of Hessian geometry, since this method exactly generalizes thermodynamics into much wider exponential family cases including quantum entanglement. Starting with the correct first law of entanglement thermodynamics, we derive that a proper choice of the Hessian potential leads to both of the entanglement entropy scaling for quantum critical systems and hyperbolic metric (or AdS space with imaginary time). We also derive geometric representation of the entanglement entropy in which the entropy is described as integration of local conserved current of information flowing across an entangling surface. We find that the entangling surface is equivalent to the domain boundary of the Hessian potential. This feature originates in a special property of critical systems in which we can identify the entanglement entropy with the Hessian potential after the second derivative by the canonical parameters, and this identification guarantees violation of extensive nature of the entropy.
Exact-Diagonalization Analysis of Composite Excitations in the t-J Model

Takashi Otaki, Yuta Yahagi, Hiroaki Matsueda

2015/03/28

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We examine spectral properties of doped holes dressed with surrounding spin cloud in the t-J model. These composite-hole excitations well characterize prominent band structures in the angle-resolved photoemission spectrum. In one-dimensional (1D) case at half-filling, we identify the composite operators that separately pick up the spinon and holon branches, respectively. After hole doping, we find that the composite hole excitations with string-like spins tend to be localized at k=\pi/2 in the momentum space. This means that such composite excitations should be actual electronic excitations, since the spinon and holon branches merge together at this momentum. In 2D case, we find that the composite excitations with more non-local spin fluctuation have stronger intensity near the Fermi level. The composite band structure along diagonal (0,0)-(\pi,\pi) direction in 2D has some similarity to that in 1D, and such non-local spin fluctuation plays an important role on the formation of the pseudogap in high-Tc cuprates.
BTZ Black Hole in Fisher Information Spacetime

Hiroaki Matsueda

2014/09/13

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We examine whether we can make a black hole in Fisher information spacetime and what kind of quantum states produce the black hole solution in terms of the anti-de Sitter spacetime/conformal field theory correspondence. Here we focus on the Banados-Teitelboim-Zanelli black hole. There exists a mathematical representation of entanglement spectra that define the Fisher geometry as the black hole spacetime. We find that this representation is quite similar to the entanglement spectra in a conformal field theory at finite temperature except for minor corrections, and then the inverse temperature corresponds to the position of the event horizon in the Poincare coordinate.
Geodesic Distance in Fisher Information Space and Holographic Entropy Formula

Hiroaki Matsueda

2014/08/28

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In this short note, we examine geodesic distance in Fisher information space in which the metric is defined by the entanglement entropy in CFT_(1+1). It is obvious in this case that the geodesic distance at a constant time is a function of the entropy data embedded into the information space. In a special case, the geodesic equation can be solved analytically, and we find that the distance agrees well with the Ryu-Takayanagi formula. Then, we can understand how the distance looks at the embeded quantum information. The result suggests that the Fisher metric is an efficient tool for constructing the holographic spacetime.
Geometry and Dynamics of Emergent Spacetime from Entanglement Spectrum

Hiroaki Matsueda

2014/08/24

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We examine geometry and dynamics of classical spacetime derived from entanglement spectrum. The spacetime is a kind of canonical parameter space defined by the Fisher information metric. As a concrete example, we focus on the spectrum for free fermions in spatially one dimension. The spectrum has exponential family form like thermal probability distribution owing to mixed-state feature emerging from truncation of environmental degrees of freedom. In this case, the Fisher metric is given by the second derivative of the Hessian potential that can be identified with the entanglement entropy. We emphasize that the canonical parameters are nontrivial functions of partial system size by the truncation, filling fraction of fermions, and time. Then, the precise determination of this nontrivial mapping is necessary to derive the functional form of the Hessian potential that leads to correct entanglement entropy scaling. By this potential, we find that the emergent geometry becomes anti-de Sitter spacetime with imaginary time, and a radial axis as well as spacetime coordinates appears spontaneously. We also find that the information of the UV limit of the original free fermions lives in the boundary of the anti-de Sitter spacetime. These findings strongly suggest that the Hessian potential for free fermions has enough geometrical meaning associated with gauge-gravity correspondence. Furthermore, some deformation of the spectrum near the conformal fixed point is mapped onto spacetime dynamics. The fluctuation of the entanglement entropy embedded into the spacetime behaves like free scaler field, and the dynamics is described by the Einstein equation with a negative cosmological constant. Therefore, the Einstein equation can be regarded as the equation of original quantum state.
Information Geometry for Husimi-Temperley Model

Yoichiro Hashizume, Hiroaki Matsueda

2014/07/10

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We examine phase transition of the Husimi-Temperley model in terms of information geometry. For this purpose, we introduce the Fisher metric defined by the density matrix of the model. We find that the metric becomes hyperbolic at the critical point with respect to the energy scale. Then, the metric is invariant under the scale transformation. We also find that the equation of states is naturally derived from a necessary condition for the entropy operator that is a building block of the metric. Based on these findings, we conclude that the geometric quantities clearly detect the phase transition of the model.
Entropy of Factorized Snapshot Data for Two-Dimensional Classical Spin Models

Hiroaki Matsueda, Dai Ozaki

2014/05/12

DOI： 10.1103/PhysRevE.92.042167 　

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We reexamine the snapshot entropy of the Ising and three-states Potts models on the LxL square lattice. Focusing on the factorization of the snapshot matrix, we find that the entropy at Tc scales asymptotically as S=(c/3)lnL consistent with the entanglement entropy in one-dimensional quantum critical systems. This nontrivial consistency strongly supports that the snapshot entropy after the factorization really represents the holographic entanglement entropy. On the other hand, the anomalous scaling for the coarse-grained snpshot entropy is retained even after the factorization. These fearures are considered to originate from the fact that the largest singular value of the snapshot matrix is regulated by the factorization.
Emergent General Relativity from Fisher Information Metric

Hiroaki Matsueda

2013/10/07

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We derive the Einstein tensor from the Fisher information metric that is defined by the probability distribution of a statistical mechanical system. We find that the tensor naturally contains essential information of the energy-momentum tensor of a classical scalar field, when the entropy data or the spectrum data of the system are embedded into the classical field as the field strength. Thus, we can regard the Einstein equation as the equation of coarse-grained states for the original microscopic system behind the classical field theory. We make some remarks on quantization of gravity and various quantum-classical correspondences.
SCALING OF ENTANGLEMENT ENTROPY AND HYPERBOLIC GEOMETRY

Hiroaki Matsueda

INTERFACE BETWEEN QUANTUM INFORMATION AND STATISTICAL PHYSICS　7　143-165　2013

ISSN： 1793-7299
VBS/CFT Correspondence and Thermal Tensor Network

Hiroaki Matsueda

2012/08/27

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It has been recently observed that the reduced density matrix of a two-dimensional (2D) valence bond solid state can be mapped onto the thermal density matrix of a 1D Heisenberg quantum spin chain. Motivated by the observation, I propose a very simple phenomenological theory for this type of correspondence based on a finite-temperature tensor network formalism recently developed. I adress close relationship and sharp difference between the present correspondence and multiscale entanglement renormalization ansatz in terms of network geometry.
Topology and Geometric Structure of Branching MERA Network

Hiroaki Matsueda

2012/08/25

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We examine a bulk-edge correspondence of branching MERA networks at finite temperatures in terms of algebraic and differential topology. By using homeomorphic mapping, we derive that the networks are nonorientable manifolds such as a M$\ddot{\rm o}$bius strip and a Klein bottle. We also examine the stability of the branch in connection with the second law of black hole thermodynamics. Then, we prove that the MERA network for one-dimensional quantum critical systems spontaneously separates into multiple branches in the IR region of the network. On the other hand, the branch does not occur in more than two dimensions. The result illustrates dimensionality dependence of spin-charge separation / coupling. We point out a role of twist of the surfaces on the phase string between spinon and holon excitations.
Embedding Quantum Information into Classical Spacetime: Information Geometrical Perspectives on anti-de Sitter space / conformal field theory Correspondence

Hiroaki Matsueda

2012/08/25

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An information-geometrical interpretation of AdS3/CFT2 correspondence is given. In particular, we consider an inverse problem in which the classical spacetime metric is given in advance and then we find what is the proper quantum information that is well stored into the spacetime. We see that the Fisher metric plays a central role on this problem. Actually, if we start with the two-dimensional hyperbolic space, a constant-time surface in AdS3, the resulting singular value spectrum of the quantum state shows power law for the correlation length with conformal dimension proportional to the curvature radius in the gravity side. Furthermore, the entanglement entropy data embedded into the hyperbolic space agree well with the Ryu-Takayanagi formula. These results show that the relevance of the AdS/CFT correspondence can be represented by the information-gemetrical approach based on the Fisher metric.
21aGB-12 Pseudogap and Fermi Arc in High-T_c Cuprates (II)

Matsueda Hiroaki, Tohyama Takami

Meeting abstracts of the Physical Society of Japan　67　(2)　586-586　2012/08/24
Publisher: The Physical Society of Japan (JPS)
ISSN： 1342-8349
Multiscale Entanglement Renormalization Ansatz for Kondo Problem

Hiroaki Matsueda

2012/08/14

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We derive the multiscale entanglement renormalization ansatz (MERA) for the single impuity Kondo model. We find two types of hidden quantum entanglement: one comes from a finite-temperature effect on the geometry of the MERA network, and the other represents screening of the impurity by conduction electrons. As the latter starts to dominate the electronic state, the Kondo physics emerges. The present result is a simple and beautiful example of a holographic dual of a boundary conformal field theory.
24pBL-6 Photoinduced Phase Transition in One-Dimensional Extended Hubbard Model

LU Hantao, SOTA S., MATSUEDA H., TOHYAMA T.

Meeting abstracts of the Physical Society of Japan　67　(1)　771-771　2012/03/05
Publisher: The Physical Society of Japan (JPS)
ISSN： 1342-8349
24pYH-9 Pseudogap and Fermi Arc in High-T_c Cuprates : Composite-Operator Picture

Matsueda Hiroaki, Tohyama Takami

Meeting abstracts of the Physical Society of Japan　67　(1)　568-568　2012/03/05
Publisher: The Physical Society of Japan (JPS)
ISSN： 1342-8349
Entanglement Entropy and Entanglement Spectrum for Two-Dimensional Classical Spin Configuration

Hiroaki Matsueda

2011/09/01

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In quantum spin chains at criticality, two types of scaling for the entanglement entropy exist: one comes from conformal field theory (CFT), and the other is for entanglement support of matrix product state (MPS) approximation. They indicates that the matrix dimension of the MPS represents a length scale of spin correlation. On the other hand, the quantum spin-chain models can be mapped onto two-dimensional (2D) classical ones. Motivated by the scaling and the mapping, we introduce new entanglement entropy for 2D classical spin configuration as well as entanglement spectrum, and examine their basic properties in Ising and 3-state Potts models on the square lattice. They are defined by the singular values of the reduced density matrix for a Monte Carlo snapshot. We find scaling relations concerned with length scales in the snapshot at $T_{c}$. There, the spin configuration is fractal, and various sizes of ordered clusters coexist. Then, the singular values automatically decompose the original snapshot into a set of images with different length scale. This is the origin of the scaling. In contrast to the MPS scaling, long-range spin correlation can be described by only few singular values. Furthermore, we find multiple gaps in the entanglement spectrum, and in contrast to standard topological phases, the low-lying entanglement levels below the gap represent spontaneous symmetry breaking. Based on these observations, we discuss about the amount of information contained in one snapshot in a viewpoint of the CFT scaling.
Renormalization Group and Curved Spacetime

Hiroaki Matsueda

2011/06/28

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We examine the role of curved geometry on renormalization group by means of image compression based on the singular value decomposition. By calculating course-grained images and their entanglement entropy, we find the anti-de Sitter space / conformal field theory correspondence hidden in the compression. The correspondence is originated from the conservation law for information. We discuss how one particular metric is automatically induced from various images. A formula for resolution of the course-grained images is also derived.
Effect of electron-phonon interaction on optical response in one-dimensional cuprates

Hiroaki Matsueda, Akihiro Ando, Takami Tohyama, Sadamichi Maekawa

JOURNAL OF PHYSICS AND CHEMISTRY OF SOLIDS　69　(12)　3070-3073　2008/12

DOI： 10.1016/j.jpcs.2008.06.040 　

ISSN： 0022-3697

eISSN： 1879-2553
20pYG-1 Numerical study of relaxation dynamics in 1D Mott insulators

Matsueda H, Tohyama T, Maekawa S

Meeting Abstracts of the Physical Society of Japan　63　(0)　629-629　2008
Publisher: The Physical Society of Japan
ISSN： 1342-8349
23aYH-7 Effect of Peierls-type electron-phonon interaction on optical responses in one-dimensional Mott insulators

Chifune G, Matsueda H, Tohyama T, Maekawa S

Meeting Abstracts of the Physical Society of Japan　63　(0)　693-693　2008
Publisher: The Physical Society of Japan
ISSN： 1342-8349
26aPS-67 Effect of electron-phonon interaction on optical absorption in 1D Mott insulators II

Matsueda H, Ando A, Tohyama T, Maekawa S

Meeting Abstracts of the Physical Society of Japan　63　(0)　747-747　2008
Publisher: The Physical Society of Japan
ISSN： 1342-8349
Effect of electron-phonon coupling on spin-charge separation in one-dimensional strongly correlated electron systems

Hiroaki Matsueda, Takami Tohyama, Sadamichi Maekawa

JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS　310　(2)　975-977　2007/03

DOI： 10.1016/j.jmmm.2006.10.360 　

ISSN： 0304-8853

eISSN： 1873-4766
18aZB-7 Effect of electron-phonon interaction on optical absorption in one-dimensional Mott insulators

Ando A, Matsueda H, Tohyama T, Maekawa S

Meeting Abstracts of the Physical Society of Japan　62　(0)　697-697　2007
Publisher: The Physical Society of Japan
ISSN： 1342-8349
Spinon and holon excitations in one-dimensional correlated electron systems

H. Matsueda, N. Bulut, N. Bulut, T. Tohyama, S. Maekawa, S. Maekawa

AIP Conference Proceedings　816　(616)　66-77　2006/02/15

DOI： 10.1063/1.2178032 　

ISSN： 0094-243X
28pRF-11 Electron-Phonon Coupling and Spin-Charge Separation in 1D Mott Insulators

Matsueda H, Tohyama T, Maekawa S

Meeting Abstracts of the Physical Society of Japan　61　(0)　749-749　2006
Publisher: The Physical Society of Japan
ISSN： 1342-8349
25pXQ-3 DMRG study of the single-particle excitation spectra in 1D Mott insulators

Matsueda H, Tohyama T, Maekawa S

Meeting Abstracts of the Physical Society of Japan　60　(0)　703-703　2005
Publisher: The Physical Society of Japan
ISSN： 1342-8349
22pYD-1 Temperature dependence of spinon and holon excitations in 1D Mott insulators

Matsueda H, BULUT Nejat, Tohyama T, Maekawa S

Meeting Abstracts of the Physical Society of Japan　60　(0)　629-629　2005
Publisher: The Physical Society of Japan
ISSN： 1342-8349
14pXA-6 DMRG study of optical absorption spectra for halogen-bridged Ni-compounds

Matsueda H, Tohyama T, Maekawa S

Meeting Abstracts of the Physical Society of Japan　59　(0)　682-682　2004
Publisher: The Physical Society of Japan
ISSN： 1342-8349
28pXF-8 Dynamical DMRG study of photoexcited states in 1D Mott insulators IMR

Matsueda H, Tohyama T, Maekawa S

Meeting Abstracts of the Physical Society of Japan　59　(0)　739-739　2004
Publisher: The Physical Society of Japan
ISSN： 1342-8349
Density of states of the d-p model in the anomalous metalic region

Matsueda H, Takanaka K

Meeting abstracts of the Physical Society of Japan　57　(2)　501-501　2002/08/13
Publisher: The Physical Society of Japan (JPS)
ISSN： 1342-8349

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Books and Other Publications 1

量子系のエンタングルメントと幾何学ホログラフィー原理に基づく異分野横断の数理

松枝宏明

森北出版　2016/06/08

ISBN: 4627155719

Research Projects 18

次世代計算機環境に対応した量子多体系のための研究基盤の創出

曽田繁利, 松枝宏明, 遠山貴巳, 柚木清司

Offer Organization: 日本学術振興会

System: 科学研究費助成事業

Category: 基盤研究(B)

Institution: 国立研究開発法人理化学研究所

2024/04/01 - 2028/03/31
量子情報技術の基盤となる量子スピン系の時空間制御理論の構築

那須譲治, 松枝宏明, 小野淳

Offer Organization: 日本学術振興会

System: 科学研究費助成事業

Category: 基盤研究(B)

Institution: 東北大学

2024/04/01 - 2028/03/31
エンタングルメント熱力学による量子エネルギーテレポーテーションの研究

松枝宏明

Offer Organization: 日本学術振興会

System: 科学研究費助成事業

Category: 基盤研究(C)

Institution: 東北大学

2024/04/01 - 2027/03/31
Superconducting single-photon detectors for far-infrared wavelength range

Offer Organization: Japan Society for the Promotion of Science

System: Grants-in-Aid for Scientific Research

Category: Grant-in-Aid for Challenging Research (Pioneering)

Institution: Tohoku University

2023/06/30 - 2026/03/31
Quantum-classical hybrid quantum computing for quantum many-body systems

Offer Organization: Japan Society for the Promotion of Science

System: Grants-in-Aid for Scientific Research

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

Institution: Institute of Physical and Chemical Research

2021/04/05 - 2025/03/31
エンタングルメントおよびホログラフィー原理に基づく量子特徴抽出法の研究

松枝宏明

Offer Organization: 日本学術振興会

System: 科学研究費助成事業

Category: 基盤研究(C)

Institution: 東北大学

2021/04/01 - 2024/03/31

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理論物理学の多方面の難問題に対して，量子情報論におけるエンタングルメント（量子もつれ）や時空物理におけるホログラフィー原理（高次元的視点）の概念が非常に共通且つ有用な横ぐしの役割を果たしている．それにより，従来と全く異なる視点から，様々な問題に柔軟にアプローチすることが可能となる．これらの概念の機能性を深く追求しながら，(1)量子的特異値分解の開発と応用，(2)物性における量子多体問題の視点からのホログラフィーの解析と量子系の特徴表現，(3)量子多体系の複合励起描像による量子特徴抽出の研究，の3点を実現することが本課題3年間の計画である．計画初年度である2021年度は，(1)の基礎的な定式化の一つである量子相関行列の特異値分解（主成分解析）を完成し，1次元量子スピン系に対して適用することで，量子的に揺らぎの強い系の効果的な特徴分析を行うことができた．またここにホログラフィー原理に繋がりうる情報が含まれていることも見出し，エンタングルメントとホログラフィーの関係性を更に追求するヒントを得た．また，基礎数理だけではなく，(3)の一部あるいは量子情報技術への出口を目指す過程として，量子ビット系に対する光によるエンタングルメント生成の実践研究も進めた．ここでは光照射後の系の時間発展において，系を表現する重要な基底の動的変化を理解するための特異値解析を実施した．両者の研究共に，研究成果の一部は学術論文として出版した．後者の研究については論文誌の editor's choice に選出された．
Development of massively parallel DMRG argorithm for quantum many-body systems and its applications

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: Institute of Physical and Chemical Research

2021/04/01 - 2024/03/31
Theoretical research for strongly correlated quantum systems in terms of topology and information geometry

Offer Organization: Japan Society for the Promotion of Science

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

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

Institution: Ehime University

2020/04/01 - 2024/03/31
Information-Theoretical Study of Entanglement and Geometry in Quantum Systems

MATSUEDA Hiroaki

Offer Organization: Japan Society for the Promotion of Science

System: Grants-in-Aid for Scientific Research

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

2018/04/01 - 2021/03/31

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The duality (holographic principle) between quantum critical systems and classical general relativity is a very basic research subject that includes common issues in various physical fields. The main purpose of this research is to clarify this background from cross-disciplinary perspectives such as information geometry, mathematical physics, and condensed matter physics. To achieve this, I conducted research on two specific issues:(1) research to the functionality of singular value decomposition and holographic principles, and (2) construction of quantum classical correspondence by information geometry. In particular, regarding (1), it was found that the wave function can be restored and inferred from the singular value decomposition (principal component analysis) of the family information of the correlation function of the quantum system, and it is found that this result can contribute to the understanding of the mechanism of the quantum classical correspondence.
Research on quantum simulations out of equlibrium

Fukushima Kenji, BENIC Sanjin, PU Shi, MURASE Koichi, OKA Takashi

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: The University of Tokyo

2015/04/01 - 2018/03/31

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The problem of real-time evolution with quantum fluctuations has universal relevance for establishing descriptions for realistic physics phenomena. This is a very important problem, and nevertheless, no general and nonperturbative algorithm at work is known, especially for relativistic quantum field theory. For the purpose to attack this problem, we investigated the sign problem, fixed point structures of the Boltzmann equation, particle production calculations, transport coefficient estimations including resummed diagrams. In this way we took the approaches from various perspectives, to find concrete answers for respective problems.
Entanglement among quantum physics, information physics, and geometry - study of quantum/classical correspondence -

MATSUEDA HIROAKI, SUZUKI TATSUO, OTAKI TAKASHI, YAHAGI YUTA, KUMAMOTO TATSUYA, SUZUKI MAO, Lee ChingHua, OZAKI DAI, HASHIZUME YOICHIRO

Offer Organization: Japan Society for the Promotion of Science

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

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

Institution: Sendai National College of Technology

2015/04/01 - 2018/03/31

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It is one of central inssues in physics to clarify common properties among different phenomena. In particular, the concept of quantum/classical corrspondence appears in many research fields. Recent researches show that information-scientific concepts are quite powerful to attack this fundamental physics problem, and thus many reseachers are interested in this interdisciplinary field. In this three-year project, we clarify mathematical common structure inherent in many types of quantum/classical correspondences by means of singular value decompositon and information geometry. These mathematical methods decompose complicated quantum data into a set of simple informations with different length scales, and encode them into a classical curved space. Then, the analysis of geometric properties in the classical side is essential to understand the original quantum systems. In this sense, this project shows efficiency of these information-oriented approaches.
Novel dielectric phenomena in electric ferroelectricity

Ishihara Sumio, NAKA Makoto, IWAI Shinichiro, SASAKI Takahiko, IKEDA Naoshi, MATSUEDA Hiroaki, MATSUMOTO Munehisa, WATANABE Tsutomu

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: Tohoku University

2014/04/01 - 2017/03/31

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Dielectric and magnetodielectric properties in “electronic ferroelectoricity” were examined. In particular, large spacial and temporal dielectric fluctuations and correlation between magnetic and electric dipole moments were focused on. We revealed mainly large dielectric fluctuation in a geometrical frustrated lattice, a linear magnetodielectric effect in dimer-type organic molecular solids, and melting of the magnetic long range order due to dielectric fluctuations.
A geometric approach to statistical physics

Hashizume Yoichiro, NAKAJIMA Takashi, OKAMURA Soichiro, SUZUKI Masuo, MATSUEDA Hiroaki

Offer Organization: Japan Society for the Promotion of Science

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

Category: Grant-in-Aid for Young Scientists (B)

Institution: Tokyo University of Science

2014/04/01 - 2017/03/31

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We showed a possibility to trace the change of states along a thermodynamic process using a Riemannian manifold defined by Fisher metric. For example, some typical toy models were investigated by means of geodesic lines. As a result, the difference of states on a thermodynamic process can be described by the path length on the manifold. Furthermore, this research project also presented relations between the present dynamics and thermo-field dynamics, and how to perform singular-value decomposition using quantum annealing.
Numerical Study of Spectroscopic Properties in Low-Dimensional Strongly Correlated Electron Systems

TOHYAMA Takami, MATSUEDA Hiroaki, TSUTSUI Kenji, SOTA Shigetoshi, KANESHITA Eiji

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: Kyoto University

2010/04/01 - 2014/03/31

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We focus on spectroscopic properties of low-dimensional strongly correlated electron systems, which can detect dynamics of spin, charge, orbital, and lattice degrees of freedom, in order to make a progress on our understanding of various quantum phenomena appearing in the systems. We use numerical techniques such as exact diagonalization and dynamical density-matrix renormalization group. We find various spectroscopic properties in the systems, for example, photoexcitation the relaxation dynamics of Mott insulators coupled to phonon, spin dynamics in low-dimensional spin systems coupled to phonon, resonant inelastic x-ray scattering in itinerant antiferromagnets and cuprate superconductors, magnetic Raman scattering in organic systems with triangular lattice. The obtained results are published in many journals.
Theory of photo-induced dynamics in correlated electron system with multi-degrees of freedom

ISHIHARA Sumio, IWAI Shinichiro, MATSUEDA Hiroaki

Offer Organization: Japan Society for the Promotion of Science

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

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

Institution: Tohoku University

2009 - 2011

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Microscopic mechanisms of photo-induced phenomena and photo-induced phase transition in correlated electron systems with multi-degrees of freedom, e. g. spin and orbital, are revealed. In particular, photo-induced real-time dynamics in spin order, orbital order and spin-states (high spin/low spin)are analyzed by utilizing the analytical and numerical methods. Obtained results are applied to interpretations for the recent experimental data.
Density Matrix Renormalization Group Study of Relaxation Dynamics in Strongly Correlated Electron systems

MATSUEDA Hiroaki

Offer Organization: Japan Society for the Promotion of Science

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

Category: Grant-in-Aid for Young Scientists (B)

Institution: Sendai National College of Technology

2009 - 2011

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Photoinduced phase transitions are attracted much attention as new functionalities of matter. In particular, various experiments have been done for transition metal oxides such as cuprates, manganites, and cobaltites. Motivated by the experiments, we have constructed the fundamental concepts behind the transitions. We have examined coupling and separation among spin, charge, orbital, and phonon degrees of freedom, and have also examined how these quantum degrees affect relaxation dynamics after pulse laser irradiation to the oxides.
電荷・軌道秩序相のミクロな摂動がもたらす巨視的光応答

石原純夫, 松枝宏明

Offer Organization: 日本学術振興会

System: 科学研究費助成事業特定領域研究

Category: 特定領域研究

Institution: 東北大学

2007 - 2008

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1) スピンと電荷が強く結合した系における光誘起現象 : マンガン酸化物に代表されるスピンと伝導電子が強く結合して系における光誘起現象について、理論的な解析を行った。ここでは有限クラスターにおける厳密対角化法と、非制限ハートリーフォック法を併用することで光誘起現象の全容を明らかにすることを目的とした。特に電荷とスピンのダイナミクスの相違について着目した。実時間シミュレーションを行い、各種の相関関数や励起スペクトルを解析することで以下のことが明らかになった。[1]系の時間発展は電子の運動で支配される短い時間スケールとスピン緩和で支配される長い時間スケールで特徴付けられる。[2]前者においては電荷とスピンのダイナミクスは強く相関している。後者の時間スケールでは強磁性相間が大きく発達する一方で、電荷は大きく変化しない。これら二つの特徴的な時間スケールと電荷・スピンダイナミクスの結果は、最近のマンガン酸化物におけるポンプ・プローブ実験の結果を説明するものである。 2) 軌道秩序系における不純物効果 : 軌道秩序系において軌道に自由度を有さない不純物を導入する、軌道希釈効果について解析を行った。特にスピンと軌道が強く結合する系の希釈効果について調べた。理論模型としてスピン・軌道模型を用い、これをモンテカルロ法とクラスター展開法を用いることでランダムに導入された軌道不純物に対する磁性の変化を調べた。この結果、不純物の無い場合に実現するA型反強磁性構造が、不純物の導入により強磁性構造へと変化することを見出した。これは軌道の希釈効果により、その不純物周囲の軌道擬スピンが修正を受け、その結果磁気相互作用が反強磁性なものから強磁性へと変化したことに起因する。これらの計算結果は、LaMnO_3に軌道自由度を持たないGaイオンを導入した系における、磁化測定や中性子散乱実験の結果に対して微視的な説明を与える。
Theory of Spectroscopies for Doped Mott Insulators

TOHYAMA Takami, TSUTSUI Kenji, MATSUEDA Hiroaki

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: Kyoto University

2006 - 2008

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