Ebook: Quantum Monte Carlo Methods in Equilibrium and Nonequilibrium Systems: Proceedings of the Ninth Taniguchi International Symposium, Susono, Japan, November 14–18, 1986

Speech by Toyosaburo Taniguchi Dr. Kubo, Chairman, Distinguished Guests, and Friends, I am very happy, pleased and honored to be here this evening with so many distinguished guests, friends, and scholars from within this country and from different parts of the world. The Taniguchi Foundation wishes to extend a warm and sincere welcome to the many participants of the Ninth International Symposium on the Theory of Condensed Matter, which se­ ries was inaugurated eight years ago through the strenuous efforts of Dr. Ryogo Kubo, who is gracing us today with his presence. We are deeply indebted to Dr. Kubo, Dr. Suzuki, and their associates, who havE' spent an enormous amount of time and effort to make this particular symposium possible. We are convinced that the foundation should not be considered as what makes our symposium a success. The success is entirely due, I feel, to the continuous efforts of the Organizing Committee and of all those who have lent their support to this program. In this sense, your words of praise about the symposium, if any, should be directed to all of them. So far, I have met in person a total of 62 participants in this Division from 12 countries: Argentina, Belgium, Canada, Denmark, the Federal Republic of Germany, France, Ireland, Israel, Rumania, Switzerland, the United Kingdom, and the United States of America, with 133 participants from Japan. Those friends I have been privileged to make, I shall always treasure.

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This volume is the proceedings of the Ninth Taniguchi Symposium on the Theory of Condensed Matter. It presents the basic ideas of quantum statistical Monte Carlo methods, including generalizations of the standard methods, and discusses the important problem of convergence. In addition, some promising powerful new methods are proposed, for example, a transfer-matrix method. Further contributions describe specific applications to quantum spin and fermion systems at finite temperatures, such as the treatment of randomness and frustration in a triangular antiferromagnet, the investigation of critical properties of spin chains, the study of spin glasses and the simulation of polaron and bipolaron systems. In particular, some new information is given about frustrated quantum spin systems and the dense Kondo problem.

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This volume is the proceedings of the Ninth Taniguchi Symposium on the Theory of Condensed Matter. It presents the basic ideas of quantum statistical Monte Carlo methods, including generalizations of the standard methods, and discusses the important problem of convergence. In addition, some promising powerful new methods are proposed, for example, a transfer-matrix method. Further contributions describe specific applications to quantum spin and fermion systems at finite temperatures, such as the treatment of randomness and frustration in a triangular antiferromagnet, the investigation of critical properties of spin chains, the study of spin glasses and the simulation of polaron and bipolaron systems. In particular, some new information is given about frustrated quantum spin systems and the dense Kondo problem.
Content:
Front Matter....Pages I-X
Front Matter....Pages 1-1
General Review of Quantum Statistical Monte Carlo Methods....Pages 2-22
Interpolation Between Dimensions....Pages 23-33
High-Speed Algorithm for Quantum Monte Carlo Simulation....Pages 34-40
Monte Carlo Renormalization Group for Quantum Systems....Pages 41-49
Quantum Transfer-Matrix Method and Its Application to Quantum Spin Systems....Pages 50-61
Front Matter....Pages 63-63
Investigation of One- and Two-Dimensional Quantum Spin Systems by Monte Carlo Simulations....Pages 64-74
Critical Properties of the Two-Dimensional Spin-1/2 XY Ferromagnet....Pages 75-85
Critical Properties of Spin Chains....Pages 86-94
Monte Carlo Simulations of Three-Dimensional Heisenberg and Transverse-Ising Magnets....Pages 95-103
Magnetic Properties of Ising-like Heisenberg S=1/2 Antiferromagnets on the Triangular Lattice....Pages 104-113
Thermodynamic Properties of the Spin-1/2 Heisenberg Antiferromagnet on the Triangular Lattice....Pages 114-124
Randomness and Frustration in Triangular Antiferromagnets....Pages 125-135
Two New Methods for Computing Finite Quantum Spin Systems....Pages 136-143
Monte Carlo Method for Quantum Spin Systems with Use of the Bloch Coherent State Representation....Pages 144-152
Decoupled Cell Monte Carlo Method for Quantum Spin Systems....Pages 153-162
Quantum Monte Carlo for Spin Glasses and Related Systems....Pages 163-175
Monte Carlo Study of the Sherrington-Kirkpatrick Spin Glass Model in a Transverse Field....Pages 176-185
Front Matter....Pages 187-187
Computer Simulation of Polaron and Bipolaron Systems....Pages 188-196
A Stochastic Algorithm for Many-Fermion Systems....Pages 197-204
Simulation of Magnetic Impurities in Metals....Pages 205-215
Front Matter....Pages 187-187
The Spatial Dependence of Spin and Charge Correlations in a One-Dimensional, Single Impurity, Anderson Model....Pages 216-225
Quantum Monte Carlo Studies of Nuclear Systems....Pages 226-239
Back Matter....Pages 241-241

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This volume is the proceedings of the Ninth Taniguchi Symposium on the Theory of Condensed Matter. It presents the basic ideas of quantum statistical Monte Carlo methods, including generalizations of the standard methods, and discusses the important problem of convergence. In addition, some promising powerful new methods are proposed, for example, a transfer-matrix method. Further contributions describe specific applications to quantum spin and fermion systems at finite temperatures, such as the treatment of randomness and frustration in a triangular antiferromagnet, the investigation of critical properties of spin chains, the study of spin glasses and the simulation of polaron and bipolaron systems. In particular, some new information is given about frustrated quantum spin systems and the dense Kondo problem.
Content:
Front Matter....Pages I-X
Front Matter....Pages 1-1
General Review of Quantum Statistical Monte Carlo Methods....Pages 2-22
Interpolation Between Dimensions....Pages 23-33
High-Speed Algorithm for Quantum Monte Carlo Simulation....Pages 34-40
Monte Carlo Renormalization Group for Quantum Systems....Pages 41-49
Quantum Transfer-Matrix Method and Its Application to Quantum Spin Systems....Pages 50-61
Front Matter....Pages 63-63
Investigation of One- and Two-Dimensional Quantum Spin Systems by Monte Carlo Simulations....Pages 64-74
Critical Properties of the Two-Dimensional Spin-1/2 XY Ferromagnet....Pages 75-85
Critical Properties of Spin Chains....Pages 86-94
Monte Carlo Simulations of Three-Dimensional Heisenberg and Transverse-Ising Magnets....Pages 95-103
Magnetic Properties of Ising-like Heisenberg S=1/2 Antiferromagnets on the Triangular Lattice....Pages 104-113
Thermodynamic Properties of the Spin-1/2 Heisenberg Antiferromagnet on the Triangular Lattice....Pages 114-124
Randomness and Frustration in Triangular Antiferromagnets....Pages 125-135
Two New Methods for Computing Finite Quantum Spin Systems....Pages 136-143
Monte Carlo Method for Quantum Spin Systems with Use of the Bloch Coherent State Representation....Pages 144-152
Decoupled Cell Monte Carlo Method for Quantum Spin Systems....Pages 153-162
Quantum Monte Carlo for Spin Glasses and Related Systems....Pages 163-175
Monte Carlo Study of the Sherrington-Kirkpatrick Spin Glass Model in a Transverse Field....Pages 176-185
Front Matter....Pages 187-187
Computer Simulation of Polaron and Bipolaron Systems....Pages 188-196
A Stochastic Algorithm for Many-Fermion Systems....Pages 197-204
Simulation of Magnetic Impurities in Metals....Pages 205-215
Front Matter....Pages 187-187
The Spatial Dependence of Spin and Charge Correlations in a One-Dimensional, Single Impurity, Anderson Model....Pages 216-225
Quantum Monte Carlo Studies of Nuclear Systems....Pages 226-239
Back Matter....Pages 241-241
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