Matrix Product State Approximation for the Maximum-Eigenvalue Eigenstate of the Quantum Transfer Matrix

スポンサーリンク

概要

• 論文の詳細を見る

• We propose a matrix product state (MPS) formulation to calculate thermodynamic quantities of one dimensional (1D) quantum systems. The maximum-eigenvalue eigenstate of the quantum transfer matrix is represented as the product of local matrices, which are obtained by the DMRG method for the two dimensional (2D) classical system mapped from the original 1D quantum system. This MPS formulation is successfully applied to the S = 1/2 XY model.

• 理論物理学刊行会の論文
• 2002-06-28

著者

• 西野 友年

  神戸大理

• OKUNISHI Kouichi

  Department of Physics, Niigata University

• NISHINO Tomotoshi

  Department of Physics, Graduate School of Science, Kobe University

• MAESHIMA Nobuya

  Department of Chemistry, Tohoku University

• Maeshima Nobuya

  Department Of Physics Graduate School Of Science Osaka University

• Maeshima Nobuya

  Department Of Chemistry Tohoku University

• Okunishi K

  Osaka Univ. Suita Jpn

• Okunishi Kouichi

  Department Of Physics Faculty Of Science Niigata University

• Okunishi Kouichi

  Department Of Physics Faculty Of Science Niigata Univeristy

• HIEIDA Yasuhiro

  Computer and Network Center, Saga University

• Nishino Tomotoshi

  Department Of Physics Faculty Of Science Kobe University

• Hieida Yasuhiro

  Computer And Network Center Saga University

• Okunishi Kouich

  Department Of Physics Faculty Of Science Niigata University

• MAESHIMA Nobuya

  Department of Physics, Graduate School of Science, Osaka University

• OKUNISHI Kouichi

  Department of Applied Physics, Graduate School of Engineering Osaka University

• HIEIDA Yasuhiro

  Computer Center, Gakushuin University

関連論文

• 21pEA-5 Wilson数値くりこみ群のスケールフリー性(21pEA 電子系・量子スピン系,領域11(統計力学,物性基礎論,応用数学,力学,流体物理))
• 25pQD-8 DMRGから派生したテンソルネットワーク形式(密度行列繰り込み群(DMRG)の新展開,領域11,領域3,領域5,領域8合同シンポジウム,領域5,光物性)
• 双曲平面上の古典格子模型と1次元量子系と1粒子量子力学 (量子科学における双対性とスケール)
• 25pQD-8 DMRGから派生したテンソルネットワーク形式(領域11,領域3,領域5,領域8合同シンポジウム:密度行列繰り込み群(DMRG)の新展開,領域3,磁性,磁気共鳴)
• 25pQD-8 DMRGから派生したテンソルネットワーク形式(領域11,領域3,領域5,領域8合同シンポジウム:密度行列繰り込み群(DMRG)の新展開,領域11,統計力学,物性基礎論,応用数学,力学,流体物理)
• ガラス板の隙間に生じる干渉縞(談話室)
• Effect of Staggered Field on the Magnetization Process of S=1/2 Antiferromagnetic Chains(Low Dimensional Systems, Field-Induced Phase Transitions and Dynamics in Quantum Spin Systems)
• Scaling Relation for Excitation Energy under Hyperbolic Deformation(General and Mathematical Physics)
• 26pQK-10 双曲変形による一次元量子スピン鎖の励起ギヤップ評価(量子スピン系,領域11,統計力学,物性基礎論,応用数学,力学,流体物理)
• 22pEH-15 一次元量子スピン鎖の励起ギャップ評価 : 双曲変形を用いたスケーリング解析(22pEH 量子スピン系,領域11(統計力学,物性基礎論,応用数学,力学,流体物理))
• Identification of an inducible glucosyltransferase from Phytolacca americana L. cells that are capable of glucosylating capsaicin
• Effect of mutagenesis at the region upstream from the G(Q/E) motif of three types of geranylgeranyl diphosphate synthase on product chain-length(ENZYMOLOGY, PROTEIN ENGINEERING, AND ENZYME TECHNOLOGY)
• Magnetic Field versus Temperature Phase Diagram of the Spin-1/2 Alternating-Bond Chain Compound F_5PNN
• Magnetization Plateau of S=1 Spin Ladder BIP-TENO(Magnetization Plateaus, Field-Induced Phase Transitions and Dynamics in Quantum Spin Systems)
• Finite-Field Ground State of an S=1 Anisotropic Antiferromagnetic Chain(Low Dimensional Systems, Field-Induced Phase Transitions and Dynamics in Quantum Spin Systems)
• Magnetization Process of an S=1 Frustrated Spin Ladder (Statistical Physics of Quantum Systems--novel orders and dynamics)
• 23pTE-5 Wilson数値くりこみ群のスケールフリー性II(23pTE 電子系,領域11(統計力学,物性基礎論,応用数学,力学,流体物理))
• Exchange Interaction via Crystal-Field Excited States and Its Importance in CsCoCl_3
• Exchange Interaction via Crystal-Field Excited States and Its Importance in CsCoCl_3
• Polaronic States with Spin-Charge-Coupled Excitation in a One-Dimensional Dimerized Mott Insulator K-TCNQ(Condensed matter: electronic structure and electrical, magnetic, and optical properties)
• Hole-Doping Effects on a Frustrated Spin Ladder
• First-Order Phase Transitions in Frustrated Spin Systems
• 8a-PS-91 2個のS=1/2スピンと2個のS=1スピンが交互に並んでいる量子スピン鎖の基底状態II
• 26pQK-9 OpenではないOpen Boundary Conditionとは何やねん?(量子スピン系,領域11,統計力学,物性基礎論,応用数学,力学,流体物理)
• 繰り込みか?それとも変分か? : 双曲変形という考え方(京都大学基礎物理学研究所研究会 密度行列繰り込み群法を用いた物性研究の新展開,研究会報告)
• 双曲平面上のイジング模型が示す臨界現象 (繰りこみ群の数理科学での応用)
• 23aWD-2 双曲平面上で角転送行列繰込みやってみよか(古典・量子スピン系,領域11,統計力学,物性基礎論,応用数学,力学,流体物理)
• 23aWD-3 双曲平面における統計模型の臨界現象(古典・量子スピン系,領域11,統計力学,物性基礎論,応用数学,力学,流体物理)
• 22pTS-1 最適な有限領域の数値繰込み群(古典スピン系,領域11,統計力学,物性基礎論,応用数学,力学,流体物理)
• 19pWA-13 有限サイズクラスターに適用する「DMRGモドキ」なアルゴリズム(フラストレート系,古典スピン系,領域11,統計力学,物性基礎論,応用数学,力学,流体物理)
• 18aWA-9 最小作用の原理からみる実時間DMRG(量子スピン系,領域11,原子・分子,量子エレクトロニクス,放射線物理)
• Snapshot Observation for 2D Classical Lattice Models by Corner Transfer Matrix RG(Applications of Renormalization Group Methods in Mathematical Sciences)
• Product Wave Function Renormalization Group : Construction from the Matrix Product Point of View(General)
• 二次元量子スピン系のテンソル積変分法による解析(2004年度後期基礎物理学研究所研究会「モンテカルロ法の新展開3」,研究会報告)
• Wang-Landau Simulation for the Quasi-One-Dimensional Ising Model
• Photoinduced Metallic Properties of One-Dimensional Strongly Correlated Electron Systems(Condensed Matter : Electronic Structure, Electrical, Magnetic and Optical Properties)
• Electronic Structure of Cu-O_3 Pyramidal Plane -Effect of Hole Itinerancy-
• Charge-Transfer Excitations in One-Dimensional Dimerized Mott Insulators(Condensed matter: electronic structure and electrical, magnetic, and optical properties)
• 21pXE-2 スルッとKAKUDAI(有効エリア拡大法in古典系DMRG)(古典スピン系一般・古典フラストレート系,領域11(統計力学,物性基礎論,応用数学,力学,流体物理))
• 18aRC-5 量子転送行列の最大固有値状態に対する行列積状態近似
• Ground-State Phase Diagram of the Spin-1/2-1/2-1-1 Chain : Condensed Matter: Electronic Properties, etc.
• Hole-Doping Effects on a Frustrated Spin Ladder
• Corner Transfer Matrix Renormalization Group Method Applied to the Ising Model on the Hyperbolic Plane(General)
• 角転送行列繰り込み群による古典スピン系のスナップショット生成(2004年度後期基礎物理学研究所研究会「モンテカルロ法の新展開3」,研究会報告)
• 21pXE-1 有限領域の山積み拡大を用いた数値繰り込み群(古典スピン系一般・古典フラストレート系,領域11(統計力学,物性基礎論,応用数学,力学,流体物理))
• 27aYC-4 自由空間における一粒子DMRG(量子力学・量子カオス,領域11(統計力学,物性基礎論,応用数学,力学,流体物理))
• 26pYC-3 行列積状態を用いた有限な系のスケーリング解析(古典スピン系・古典フラストレート系,領域11(統計力学,物性基礎論,応用数学,力学,流体物理))
• 14pTB-12 CTMRG による古典スピン系のスナップショット生成(古典スピン系・古典フラストレート系, 領域 11)
• 14aTB-3 波動関数のテンソル積分解による量子スピン系基底状態の研究(量子スピン系, 領域 11)
• Field-Induced Phase Transitions and Long-Range Orders in the S=1/2 Spin Bond-Alternating Chain with Frustrating Interaction (Statistical Physics of Quantum Systems--novel orders and dynamics)
• Effects of Bottlenecks on Vehicle Traffic(Condensed matter: structure and mechanical and thermal properties)
• Superexcited States of the Hydrogen Molecule Converging to the First Excited State of the Hydrogen Molecular Ion
• Ground State and Elementary Excitation Gaps in the One-Dimensional Kondo Lattice with f^2 Configuration
• Spin,Charge and Quasi-Particle Gaps in the One-Dimensional Kondo Lattice with f^2 Configuration
• Stable Optimization of a Tensor Product Variational State(Condensed Matter and Statistical Physics)
• Stable Optimization of a Tensor Product Variational State
• Matrix Product State Approximation for the Maximum-Eigenvalue Eigenstate of the Quantum Transfer Matrix
• Two-Dimensional Tensor Product Variational Formulation
• Vertical density matrix algorithm: A higher-dimensional numerical renormalization scheme based on the tensor product state ansatz
• Bond-Alternating S=1 Spin Ladder in Magnetic Field (Statistical Physics of Quantum Systems--novel orders and dynamics)
• Phase Diagram of a 2D Vertex Model
• Critical Point of a Symmetric Vertex Model
• Corner Transfer Matrix Algorithm for Classical Renormalization Group
• On Calculation of Vector Spin Chirality for Zigzag Spin Chains(General)
• 27aV-7 3Dイジング模型のKramers-Wannier近似
• 25pTE-1 双曲の イジングモデル 相転移 けふも調べて 熱力語る(25pTE 古典フラストレート系・古典スピン系一般,領域11(統計力学,物性基礎論,応用数学,力学,流体物理))
• 25aTF-8 双曲変形の量子スピン鎖への応用 : 励起エネルギーにおけるスケール則(25aTF 量子スピン系,領域11(統計力学,物性基礎論,応用数学,力学,流体物理))
• Analysis of 2D Hyperbolic Surfaces by Corner Transfer Matrix Renormalization Group(New Development of Numerical Simulations in Low-Dimensional Quantum Systems: From Density Matrix Renormalization Group to Tensor Network Formulations)
• Wave Function Prediction : a Classical Background(New Development of Numerical Simulations in Low-Dimensional Quantum Systems: From Density Matrix Renormalization Group to Tensor Network Formulations)
• Scale free property of Wilson's numerical renormalization group(New Development of Numerical Simulations in Low-Dimensional Quantum Systems: From Density Matrix Renormalization Group to Tensor Network Formulations)
• Fixed Point of the Finite System DMRG
• Modulation of Local Magnetization in Two-Dimensional Axial-Next-Nearest-Neighbor Ising Model(General)
• Kramers-Wannier Approximation for the 3D Ising Model
• 密度行列繰り込み群と幾つかの変分原理 (繰り込み群の数理科学での応用)
• Low-Energy Excitations of the S=1/2 Quantum Spin Tube with the Triangular Lattice Structure(Nanometer-Scale Magnets, Field-Induced Phase Transitions and Dynamics in Quantum Spin Systems)
• Quantum Fluctuation-induced Phase Transition in S = 1/2 XY-like Heisenberg Antiferromagnets on the Triangular Lattice(Condensed Matter : Structure, Mechanical and Thermal Properties)
• Origin of Magic Angular Momentum in a Quantum Dot under Strong Magnetic Field
• 29a-YH-12 2個のS=1/2スピンと2個のS=1スピンが交互に並んでいる量子スピン鎖の基底状態
• 29p-YH-11 2個のS=1/2スピンと2個のS=1スピンが交互に並んでいる量子スピン鎖の熱力学
• S=1/2ハイゼンベルグ鎖における, 相互作用間の競合が強い場合のスピン流体・ダイマー転移 II
• 28a-PS-51 S=1/2ハイゼンベルグ鎖における, 相互作用間の競合が強い場合のスピン流体・ダイマー転移
• 27p-PS-2 量子スピン系に対する数値対角化法の新アルゴリズム
• Internal Magnetic Field at the La Atom in La_2MO_4(M=Cu,Ni)
• Fractional Sz Excitation and Its Boundstate for the S=1/2 Antiferromagnetic Zigzag Spin Chain in a Magnetic Field (Statistical Physics of Quantum Systems--novel orders and dynamics)
• 22aWE-12 『密度行列を作って対角化』でいいのだろうか?
• 2次元量子スピン系基底状態のテンソル積変分による評価(新奇な秩序を持つ系での相転移,研究会報告)
• 密度行列繰り込み群 (繰り込み群の数理科学での応用)
• 17aRD-5 テンソル型変分関数でポッツポッツ計算
• 密度行列繰り込み群
• Magnetic Phase Diagram of the S=1/2 Antiferromagnetic Zigzag Spin Chain in the Strongly Frustrated Region : Cusp and Plateau
• Two-Site Shift Product Wave Function Renormalization Group Method Applied to Quantum Systems(General)
• Hyperbolic Deformation on Quantum Lattice Hamiltonians(General)
• Magnetic Phase Diagram of the S = 1/2 Antiferromagnetic Zigzag Spin Chain in the Strongly Frustrated Region : Cusp and Plateau
• A Density Matrix Algorithm for 3D Classical Models
• 29p-YH-6 密度行列繰り込み群を量子群でグングン加速しよう
• Novel Phase Transition Probed by Sound Velocity in Quasi-One-Dimensional Ising-Like Antiferromagnet BaCo2V2O8
• エネルギー・スケール変調による量子系の境界条件・トポロジーの制御(最近の研究から)
• Cusp Singularity in the Magnetization Curve of 1D Quantum Spin Systems
• 22aZ-12 3D古典系をCTMRGでボチボチ計算
• エネルギー・スケール変調による量子系の境界条件・トポロジーの制御

もっと見る 閉じる

スポンサーリンク