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Improvement of Tensor Network Method and its Application to Classical/Quantum Spin Systems

Research Project

Project/Area Number 19H01809
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Review Section Basic Section 13010:Mathematical physics and fundamental theory of condensed matter physics-related
Research InstitutionThe University of Tokyo

Principal Investigator

Kawashima Naoki  東京大学, 物性研究所, 教授 (30242093)

Project Period (FY) 2019-04-01 – 2023-03-31
Project Status Completed (Fiscal Year 2022)
Budget Amount *help
¥16,510,000 (Direct Cost: ¥12,700,000、Indirect Cost: ¥3,810,000)
Fiscal Year 2022: ¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2021: ¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2020: ¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2019: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywords統計力学 / 計算物理学 / 量子スピン系 / テンソルネットワーク / 統計物理学 / 物性基礎論 / トポロジカル量子状態
Outline of Research at the Start

テンソルネットワーク(TN)を応用した計算手法の改良が進む一方で,TN 表現に基づく多くの手法で共通に存在する表現の最適化問題が本質的な困難としてより明瞭に認識されるようになってきている.本研究では,TNによる効率的な多次元データ表現とその実用的な計算手法の確立を出発点とし,それを利用した数値繰り込み群や量子多体系計算手法の本質的な改良を目指す.さらに,キタエフ関連モデルなど,基礎的でありながら基本的物性に関してさまざまな議論のあるモデルなど,従来の計算手法では大規模計算が不可能であった物理系の物性を明らかにする.

Outline of Final Research Achievements

Based on a new representation by tensor networks, we have developed new numerical methods for quantum many-body problems such as spin systems. For example, the tensor network representation we discovered for the two-dimensional Kitaev model, which is standard in topological quantum state studies, turned out mathematically equivalent to the loop gas model, one of the standard classical models in statistical mechanics. This representation can be used in developing numerical methods, which was applied to obtain phase diagrams for problems derived from the Kitaev model. In particular, we have discovered many quantum phases in models corresponding to compounds such as alpha-RuCl3.

Academic Significance and Societal Importance of the Research Achievements

スピン系は,その単純さにも関わらず,臨界現象やトポロジカル量子相など,多くの多体物理現象を示すため,現象の本質を理解する上で重要である.このため,スピン系の特徴を調べるための多くの数値計算手法がこれまでに考案されてきたが,扱える系の大きさや精度の点で不満足な点が多かった.これを克服するために本研究課題において我々はテンソルネットワーク表現に基づく量子統計力学研究のための新しい数値計算手法を開発し,いくつかの典型的な問題にたいして適用して成果を挙げた.とくに,テンソルネットワーク法の一般の情報処理への展開についても新しい展望が開けたことは社会的な展開にもつながる成果である.

Report

(5 results)
  • 2022 Annual Research Report   Final Research Report ( PDF )
  • 2021 Annual Research Report
  • 2020 Annual Research Report
  • 2019 Annual Research Report
  • Research Products

    (82 results)

All 2023 2022 2021 2020 2019 Other

All Journal Article (26 results) (of which Int'l Joint Research: 15 results,  Peer Reviewed: 26 results,  Open Access: 11 results) Presentation (55 results) (of which Int'l Joint Research: 17 results,  Invited: 15 results) Remarks (1 results)

  • [Journal Article] Non-monotonic behavior of the Binder parameter in discrete spin systems2023

    • Author(s)
      Watanabe Hiroshi、Motoyama Yuichi、Morita Satoshi、Kawashima Naoki
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 2023 Issue: 3

    • DOI

      10.1093/ptep/ptad022

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Physics-informed machine learning combining experiment and simulation for the design of neodymium-iron-boron permanent magnets with reduced critical-elements content2023

    • Author(s)
      K. Alexander、F Johann、O. Harald、K. Alexander、A. Qais、G. Markus、M. Yano、N. Sakuma、A. Kinoshita、T. Shoji 、A. Kato、Y. Hong、S. Greniere、T. Devillers、N. Dempsey、T. Fukushima、H. Akai、N. Kawashima、T. Miyake、T. Schrefl
    • Journal Title

      Frontiers in Materials

      Volume: 9 Pages: 01-09

    • DOI

      10.3389/fmats.2022.1094055

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] TeNeS: Tensor network solver for quantum lattice systems2022

    • Author(s)
      Motoyama Yuichi、Okubo Tsuyoshi、Yoshimi Kazuyoshi、Morita Satoshi、Kato Takeo、Kawashima Naoki
    • Journal Title

      Computer Physics Communications

      Volume: 279 Pages: 1084371-08437

    • DOI

      10.1016/j.cpc.2022.108437

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Universal and Non-Universal Correction Terms of Bose Gases in Dilute Region: A Quantum Monte Carlo Study2022

    • Author(s)
      Masaki-Kato Akiko、Motoyama Yuichi、Kawashima Naoki
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 91 Issue: 2

    • DOI

      10.7566/jpsj.91.024001

    • NAID

      210000159569

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Symmetry-protected topological phases and competing orders in a spin-1/22021

    • Author(s)
      Ogino Takuhiro、Furukawa Shunsuke、Kaneko Ryui、Morita Satoshi、Kawashima Naoki
    • Journal Title

      Physical Review B

      Volume: 104 Issue: 7 Pages: 075135-075135

    • DOI

      10.1103/physrevb.104.075135

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Mott-insulator-like Bose-Einstein condensation in a tight-binding system of interacting bosons with a flat band2021

    • Author(s)
      Hosho Katsura, Naoki Kawashima, Satoshi Morita, Akinori Tanaka, and Hal Tasaki
    • Journal Title

      Physical Review Research

      Volume: 3 Issue: 3

    • DOI

      10.1103/physrevresearch.3.033190

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Anisotropy as a diagnostic test for distinct tensor-network wave functions of integer- and half-integer-spin Kitaev quantum spin liquids2021

    • Author(s)
      Lee Hyun-Yong、Suzuki Takafumi、Kim Yong Baek、Kawashima Naoki
    • Journal Title

      Physical Review B

      Volume: 104 Issue: 2 Pages: 024417-024417

    • DOI

      10.1103/physrevb.104.024417

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Generating function for tensor network diagrammatic summation2021

    • Author(s)
      Tu Wei-Lin、Wu Huan-Kuang、Schuch Norbert、Kawashima Naoki、Chen Ji-Yao
    • Journal Title

      Physical Review B

      Volume: 103 Issue: 20

    • DOI

      10.1103/physrevb.103.205155

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Scaling dimensions from linearized tensor renormalization group transformations2021

    • Author(s)
      Lyu Xinliang、Xu RuQing G.、Kawashima Naoki
    • Journal Title

      Physical Review Research

      Volume: 3 Issue: 2

    • DOI

      10.1103/physrevresearch.3.023048

    • Related Report
      2021 Annual Research Report 2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] DSQSS: Discrete Space Quantum Systems Solver2021

    • Author(s)
      Motoyama Yuichi、Yoshimi Kazuyoshi、Masaki-Kato Akiko、Kato Takeo、Kawashima Naoki
    • Journal Title

      Computer Physics Communications

      Volume: 264 Pages: 107944-107944

    • DOI

      10.1016/j.cpc.2021.107944

    • Related Report
      2021 Annual Research Report 2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Multiple magnetization plateaus induced by farther neighbor interactions in an S=1 two-leg Heisenberg spin ladder2021

    • Author(s)
      Hidehiko Kohshiro, Ryui Kaneko, Satoshi Morita, Hosho Katsura, and Naoki Kawashima
    • Journal Title

      Physical Review B

      Volume: 104 Issue: 21 Pages: 214409-214409

    • DOI

      10.1103/physrevb.104.214409

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Continuous phase transition between Neel and valence bond solid phases in a J-Q-like spin ladder system2021

    • Author(s)
      T. Ogino, R. Kaneko, S. Morita, S. Furukawa, N. Kawashima
    • Journal Title

      Physical Review B

      Volume: 103 Issue: 8 Pages: 085117-085117

    • DOI

      10.1103/physrevb.103.085117

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Data assimilation method for experimental and first-principles data: Finite-temperature magnetization of (Nd,Pr,La,Ce)2(Fe,Co,Ni)14B2021

    • Author(s)
      Harashima Yosuke、Tamai Keiichi、Doi Shotaro、Matsumoto Munehisa、Akai Hisazumi、Kawashima Naoki、Ito Masaaki、Sakuma Noritsugu、Kato Akira、Shoji Tetsuya、Miyake Takashi
    • Journal Title

      Physical Review Materials

      Volume: 5 Issue: 1

    • DOI

      10.1103/physrevmaterials.5.013806

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Global optimization of tensor renormalization group using the corner transfer matrix2021

    • Author(s)
      Morita Satoshi、Kawashima Naoki
    • Journal Title

      Physical Review B

      Volume: 103 Issue: 4 Pages: 045131-045131

    • DOI

      10.1103/physrevb.103.045131

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Kω - Open-source library for the shifted Krylov subspace method of the form (zI-H)x=b2021

    • Author(s)
      Hoshi Takeo、Kawamura Mitsuaki、Yoshimi Kazuyoshi、Motoyama Yuichi、Misawa Takahiro、Yamaji Youhei、Todo Synge、Kawashima Naoki、Sogabe Tomohiro
    • Journal Title

      Computer Physics Communications

      Volume: 258 Pages: 107536-107536

    • DOI

      10.1016/j.cpc.2020.107536

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Thermal Hall Effects of Spins and Phonons in Kagome Antiferromagnet Cd-Kapellasite2020

    • Author(s)
      Akazawa Masatoshi、Shimozawa Masaaki、Kittaka Shunichiro、Sakakibara Toshiro、Okuma Ryutaro、Hiroi Zenji、Lee Hyun-Yong、Kawashima Naoki、Han Jung Hoon、Yamashita Minoru
    • Journal Title

      Physical Review X

      Volume: 10 Issue: 4 Pages: 041059-041059

    • DOI

      10.1103/physrevx.10.041059

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Construction of variational matrix product states for the Heisenberg spin-1 chain2020

    • Author(s)
      Kim Jintae、Kim Minsoo、Kawashima Naoki、Han Jung Hoon、Lee Hyun-Yong
    • Journal Title

      Physical Review B

      Volume: 102 Issue: 8

    • DOI

      10.1103/physrevb.102.085117

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Tensor network wave function of S=1 Kitaev spin liquids2020

    • Author(s)
      Lee Hyun-Yong、Kawashima Naoki、Kim Yong Baek
    • Journal Title

      Physical Review Research

      Volume: 2 Issue: 3

    • DOI

      10.1103/physrevresearch.2.033318

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Boundary conformal spectrum and surface critical behavior of classical spin systems: A tensor network renormalization study2020

    • Author(s)
      Iino Shumpei、Morita Satoshi、Kawashima Naoki
    • Journal Title

      Physical Review B

      Volume: 101 Issue: 15

    • DOI

      10.1103/physrevb.101.155418

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Magnetic field induced quantum phases in a tensor network study of Kitaev magnets2020

    • Author(s)
      Lee Hyun-Yong、Kaneko Ryui、Chern Li Ern、Okubo Tsuyoshi、Yamaji Youhei、Kawashima Naoki、Kim Yong Baek
    • Journal Title

      Nature Communications

      Volume: 11 Issue: 1

    • DOI

      10.1038/s41467-020-15320-x

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Tensor-Ring Decomposition with Index-Splitting2020

    • Author(s)
      Lee Hyun-Yong、Kawashima Naoki
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 89 Issue: 5 Pages: 054003-054003

    • DOI

      10.7566/jpsj.89.054003

    • NAID

      210000158134

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Abelian and non-Abelian chiral spin liquids in a compact tensor network representation2020

    • Author(s)
      Lee Hyun-Yong、Kaneko Ryui、Okubo Tsuyoshi、Kawashima Naoki
    • Journal Title

      Physical Review B

      Volume: 101 Issue: 3

    • DOI

      10.1103/physrevb.101.035140

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Thermal-transport studies of kagome antiferromagnets2020

    • Author(s)
      M. Yamashita, M. Akazawa, M. Shimozawa, T. Shibauchi, Y. Matsuda, H. Ishikawa, T. Yajima, Z. Hiroi, M. Oda, H. Yoshida, H.-Y. Lee, J. H. Han and N. Kawashima
    • Journal Title

      Journal of Physics: Condensed Matter

      Volume: 32 Issue: 7 Pages: 074001-074001

    • DOI

      10.1088/1361-648x/ab50e9

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Entropy Governed by the Absorbing State of Directed Percolation2019

    • Author(s)
      Harada Kenji、Kawashima Naoki
    • Journal Title

      Physical Review Letters

      Volume: 123 Issue: 9 Pages: 090601-090601

    • DOI

      10.1103/physrevlett.123.090601

    • NAID

      130008147766

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Gapless Kitaev Spin Liquid to Classical String Gas through Tensor Networks2019

    • Author(s)
      Lee Hyun-Yong、Kaneko Ryui、Okubo Tsuyoshi、Kawashima Naoki
    • Journal Title

      Physical Review Letters

      Volume: 123 Issue: 8

    • DOI

      10.1103/physrevlett.123.087203

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Boundary tensor renormalization group2019

    • Author(s)
      Iino Shumpei、Morita Satoshi、Kawashima Naoki
    • Journal Title

      Physical Review B

      Volume: 100 Issue: 3

    • DOI

      10.1103/physrevb.100.035449

    • NAID

      130008152808

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Presentation] 核ノルム正則化によるテンソルネットワークのループ最適化2023

    • Author(s)
      本間健司,川島直輝
    • Organizer
      日本物理学会 2023年春季大会
    • Related Report
      2022 Annual Research Report
  • [Presentation] 核ノルム正則化によるテンソルネットワークのループ最適化2023

    • Author(s)
      Laurens Vanderstraeten, Norbert Schuch, Hyun-Yong Lee, 川島直輝, Ji-Yao Chen
    • Organizer
      日本物理学会 2023年春季大会
    • Related Report
      2022 Annual Research Report
  • [Presentation] Scaling dimensions from linearized tensor renormalization group transformations2023

    • Author(s)
      Xinliang Lyu, RuQing G. Xu, and Naoki Kawashima
    • Organizer
      APS March Meeting2023
    • Related Report
      2022 Annual Research Report
  • [Presentation] テンソルネットワーク状態を用いた教師なし生成モデルのネットワーク構造の最適化2022

    • Author(s)
      原田健自, 大久保毅, 川島直輝
    • Organizer
      日本物理学会 2022年秋季大会
    • Related Report
      2022 Annual Research Report
  • [Presentation] 2サイトアップデート法によるテンソルリング分解の最適化2022

    • Author(s)
      大久保毅, 川島直輝
    • Organizer
      日本物理学会 2022年秋季大会
    • Related Report
      2022 Annual Research Report
  • [Presentation] 立方強磁性体と臨界表現:テンソルネットワーク法による研究2022

    • Author(s)
      杜韋霖, S. R. Ghazanfari, Huan-Kuang Wu, Hyun-Yong Lee, 川島直輝
    • Organizer
      日本物理学会 2022年秋季大会
    • Related Report
      2022 Annual Research Report
  • [Presentation] ボンド重み付きテンソルくりこみ群を用いた高次モーメント計算2022

    • Author(s)
      森田悟史, 川島直輝
    • Organizer
      日本物理学会 2022年秋季大会
    • Related Report
      2022 Annual Research Report
  • [Presentation] Tensor-network-representable quantum states2022

    • Author(s)
      Naoki Kawashima
    • Organizer
      Tensor Networks: Mathematical Structures and Novel Algorithms
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A textbook implementation of real-space RG2022

    • Author(s)
      Naoki Kawashima
    • Organizer
      2022 Summer school for physics and tensor-network methods in correlated systems
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A Tensor Network Study of Cubic Anisotropy2022

    • Author(s)
      Naoki Kawashima
    • Organizer
      The 15th Asian Pacific Physics Conference (APPC15)
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A tensor network study of cubic anisotropy2022

    • Author(s)
      Naoki Kawashima
    • Organizer
      CompQu Seminar
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] ポッツ対称性を持つスピン系のビンダー比の振る舞いと臨界指数2021

    • Author(s)
      渡辺宙志, 森田悟史, 本山裕一, 川島直輝
    • Organizer
      日本物理学会 2021年秋季大会年次大会
    • Related Report
      2021 Annual Research Report
  • [Presentation] 2次元古典ダイマー模型におけるAshkin-Teller型相転移2021

    • Author(s)
      森田悟史, Hyunyong Lee, Kedar DamleB, 川島直輝
    • Organizer
      日本物理学会 2021年秋季大会年次大会
    • Related Report
      2021 Annual Research Report
  • [Presentation] 多重磁化プラトーを実現するフラストレートスピンラダー系の厳密解2021

    • Author(s)
      幸城秀彦, 金子隆威, 森田悟史, 桂法称, 川島直輝
    • Organizer
      日本物理学会 2021年秋季大会年次大会
    • Related Report
      2021 Annual Research Report
  • [Presentation] How to carry out the generic real-space renormalization group program2021

    • Author(s)
      Naoki Kawashima
    • Organizer
      CCP2021
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Classically representable quantum states2021

    • Author(s)
      Naoki Kawashima
    • Organizer
      International workshop on tensor networks in many body and lattice field
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Competing scenarios for dipolar hard-core bosons within square and triangular lattices2021

    • Author(s)
      Wei-Lin Tu, Huan-Kuang Wu, Takafumi Suzuki, Hyunyong Lee, and Naoki Kawashima
    • Organizer
      APS Marchi Meeting
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Continuous phase transition between Neel and valence bond solid phases on a spin ladder system2021

    • Author(s)
      Takuhiro Ogino, Ryui Kaneko, Satoshi Morita, Shunsuke Furukawa, and Naoki Kawashima
    • Organizer
      APS Marchi Meeting
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Scaling dimensions from analyzing tensor renormalization group flows2021

    • Author(s)
      Xinliang Lyu, RuQing Xu, Naoki Kawashima
    • Organizer
      日本物理学会第76回年次大会
    • Related Report
      2020 Annual Research Report
  • [Presentation] 3次元O(N)模型の表面臨界現象について」2021

    • Author(s)
      飯野隼平, 川島直輝
    • Organizer
      日本物理学会第76回年次大会
    • Related Report
      2020 Annual Research Report
  • [Presentation] 四体相互作用を含むスピン1/2XXZ梯子系における秩序相と対称性によって保護されたトポロジカル相2021

    • Author(s)
      荻野卓啓, 金子隆威, 森田悟史, 古川俊輔, 川島直輝
    • Organizer
      日本物理学会第76回年次大会
    • Related Report
      2020 Annual Research Report
  • [Presentation] 吸収状態転移を示す系におけるエントロピー生成の数値計算2021

    • Author(s)
      玉井敬一, 川島直輝
    • Organizer
      日本物理学会第76回年次大会
    • Related Report
      2020 Annual Research Report
  • [Presentation] 生成関数によるテンソルネットワークの和の計算方法2021

    • Author(s)
      杜韋霖, Huan-Kuang Wu, Norbert Schuch, 川島直輝, Ji-Yao Chen
    • Organizer
      日本物理学会第76回年次大会
    • Related Report
      2020 Annual Research Report
  • [Presentation] Recent Progress in Tensor Network Methods2021

    • Author(s)
      Naoki Kawashima
    • Organizer
      34th Annual CSP Workshop: Recent Developments in Computer Simulation Studies in Condensed Matter Physics
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Constructing Linearized Superoperator from HOTRG2021

    • Author(s)
      Naoki Kawashima
    • Organizer
      Benasque Workshop: Entanglement in Strongly Correlated Systems
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] スピンラダー系におけるNeel-VBS連続相転移の数値的検証22020

    • Author(s)
      荻野卓啓, 金子隆威, 森田悟史, 川島直輝, 古川俊輔
    • Organizer
      日本物理学会2020年秋季大会
    • Related Report
      2020 Annual Research Report
  • [Presentation] 二次元量子格子系テンソルネットワークソルバーパッケージ TeNeS2020

    • Author(s)
      本山裕一, 大久保毅, 森田悟史, 吉見一慶, 加藤岳生, 川島直輝
    • Organizer
      日本物理学会2020年秋季大会
    • Related Report
      2020 Annual Research Report
  • [Presentation] 角転送行列を用いたテンソルくりこみ群の大域的最適化2020

    • Author(s)
      森田悟史, 川島直輝
    • Organizer
      日本物理学会2020年秋季大会
    • Related Report
      2020 Annual Research Report
  • [Presentation] エンタングルメントエントロピーを用いたテンソルリング分解の最適化2020

    • Author(s)
      大久保毅, 川島直輝
    • Organizer
      日本物理学会2020年秋季大会
    • Related Report
      2020 Annual Research Report
  • [Presentation] S=1 スピンラダーBIP-TENOにおける新奇磁化プラトーの理論的解明2020

    • Author(s)
      幸城秀彦, 金子隆威, 川島直輝
    • Organizer
      日本物理学会2020年秋季大会
    • Related Report
      2020 Annual Research Report
  • [Presentation] 角転送行列を用いたテンソルくりこみ群の改良2020

    • Author(s)
      森田悟史, 川島直輝
    • Organizer
      日本物理学会 第75回年次大会
    • Related Report
      2019 Annual Research Report
  • [Presentation] 境界のある系のTensor Network Renormalization2020

    • Author(s)
      飯野隼平, 森田悟史, 川島直輝
    • Organizer
      日本物理学会 第75回年次大会
    • Related Report
      2019 Annual Research Report
  • [Presentation] ポッツ模型におけるBinder比の非単調な振る舞いについて2020

    • Author(s)
      渡辺宙志, 本山裕一, 森田悟史, 川島直輝
    • Organizer
      日本物理学会 第75回年次大会
    • Related Report
      2019 Annual Research Report
  • [Presentation] テンソルネットワーク手法を用いたハニカム格子上のHeisenberg-Γ模型の基底状態探索2020

    • Author(s)
      金子隆威, 大久保毅, 川島直輝
    • Organizer
      日本物理学会 第75回年次大会
    • Related Report
      2019 Annual Research Report
  • [Presentation] 吸収状態転移の情報流れダイナミクス2020

    • Author(s)
      玉井 敬一、川島 直輝
    • Organizer
      日本物理学会 第75回年次大会
    • Related Report
      2019 Annual Research Report
  • [Presentation] スピンラダー系におけるNeel-VBS連続相転移の数値的検証2020

    • Author(s)
      荻野卓啓, 金子隆威, 森田悟史, 川島直輝
    • Organizer
      日本物理学会 第75回年次大会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Numerical evidence for a continuous phase transition between Neel and valence bond solid phases on a spin-ladder system2020

    • Author(s)
      Ogino Takuhiro, Ryui Kaneko, Satoshi Morita, Naoki Kawashima
    • Organizer
      APS March Meeting
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] テンソルネットワーク計算によるKitaevスピン液体の研究2020

    • Author(s)
      金子 隆威、大久保 毅、H.-Y. Lee、山地 洋平、川島 直輝
    • Organizer
      ポスト「京」重点課題(7)・萌芽的課題成果報告会 第9回材料系ワークショップ
    • Related Report
      2019 Annual Research Report
  • [Presentation] テンソルネットワーク法による量子格子系の解法とその周辺2019

    • Author(s)
      川島直輝
    • Organizer
      シミュレーションによる宇宙の基本法則と進化の解明に向けて(QUCS2019)
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Understanding Kitaev-Related Models through Tensor Networks2019

    • Author(s)
      Naoki Kawashima
    • Organizer
      Tensor Network States: Algorithms and Applications (TNSAA2019-2020)
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] テンソルネットワーク法を用いた拡張Kitaev模型の基底状態探索2019

    • Author(s)
      金子 隆威、大久保 毅、H.-Y. Lee、山地 洋平、川島 直輝
    • Organizer
      第13回物性科学領域横断研究会
    • Related Report
      2019 Annual Research Report
  • [Presentation] テンソル分解 ― 物理計算とデータ科学の接点 ―2019

    • Author(s)
      川島直輝
    • Organizer
      モビリティ基盤数理の研究(Step2)合同課題検討会
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] 結合写像格子系における巨視的ダイナミクスのテンソルネットワークを用いた記述2019

    • Author(s)
      玉井 敬一、川島 直輝
    • Organizer
      計算物質科学人材育成コンソーシアム (PCoMS) シンポジウム&計算物質科学スーパーコンピュータ事業報告会 2019
    • Related Report
      2019 Annual Research Report
  • [Presentation] Tensor Network Study of the Stability of the Kitaev Spin Liquid2019

    • Author(s)
      R. Kaneko, T. Okubo, H.-Y. Lee, Y. Yamaji, and N. Kawashima
    • Organizer
      International Conference on Strongly Correlated Electron Systems (SCES2019)
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] テンソルネットワーク手法を用いたKitaev-Γ模型のスピン液体の解析2019

    • Author(s)
      金子 隆威、大久保 毅、山地 洋平、川島 直輝
    • Organizer
      日本物理学会 2019年秋季大会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Kitaev Spin Liquids in a Compact Tensor Network Representation2019

    • Author(s)
      H.-Y. Lee, R. Kaneko, T. Okubo, and N. Kawashima
    • Organizer
      日本物理学会 2019年秋季大会
    • Related Report
      2019 Annual Research Report
  • [Presentation] 境界のある系のテンソルくりこみ群2019

    • Author(s)
      飯野隼平, 森田悟史, 川島直輝
    • Organizer
      日本物理学会 2019年秋季大会
    • Related Report
      2019 Annual Research Report
  • [Presentation] サブ課題Dの全体概要と体制2019

    • Author(s)
      川島直輝
    • Organizer
      第3回ポスト「京」萌芽的課題「基礎科学の挑戦」・「極限マテリアル」合同公開シンポジウム
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] テンソルネットワーク法によるデータ圧縮と量子物性の新しい理解2019

    • Author(s)
      川島直輝
    • Organizer
      第3回ポスト「京」萌芽的課題「基礎科学の挑戦」・「極限マテリアル」合同公開シンポジウム
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] マルチスケールシミュレーション高速化に向けた大自由度力学系における情報圧縮技術の開発2019

    • Author(s)
      玉井 敬一、川島 直輝、川勝 年洋、野口 博司
    • Organizer
      第3回ポスト「京」萌芽的課題「基礎科学の挑戦」・「極限マテリアル」合同公開シンポジウム
    • Related Report
      2019 Annual Research Report
  • [Presentation] Introduction2019

    • Author(s)
      Naoki Kawashima
    • Organizer
      Computational Approaches to Quantum Many-body Problems (CAQMP2019)
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Tensor network study of the Kitaev spin liquid2019

    • Author(s)
      R. Kaneko, T. Okubo, H.-Y. Lee, Y. Yamaji, and N. Kawashima
    • Organizer
      Frontiers of Statistical Physics (FSP2019)
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Tensor Network States for Lattice Systems2019

    • Author(s)
      Naoki Kawashima
    • Organizer
      International Conference on Frontiers of Correlated Electron Sciences (FCES2019)
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Tensor network approach to the Kitaev spin liquid2019

    • Author(s)
      R. Kaneko, T. Okubo, H.-Y. Lee, Y. Yamaji, and N. Kawashima
    • Organizer
      International Conference on Frontiers of Correlated Electron Sciences (FCES19)
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Searching for the Kitaev spin liquid by the tensor network approach2019

    • Author(s)
      金子 隆威、大久保 毅、H.-Y. Lee、山地 洋平、川島 直輝
    • Organizer
      物性研究所スパコン共同利用・CCMS合同研究会「計算物質科学の新展開」
    • Related Report
      2019 Annual Research Report
  • [Remarks] 東京大学物性研究所川島研究室ホームページ

    • URL

      https://kawashima.issp.u-tokyo.ac.jp/ja/

    • Related Report
      2022 Annual Research Report 2020 Annual Research Report 2019 Annual Research Report

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Published: 2019-04-18   Modified: 2024-01-30  

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