Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Springer series in solid-state sciences

Monte Carlo Method for Quantum Spin Systems with Use of the Bloch Coherent State Representation

Hiroshi Takano

Published Jan 1, 1987• 0 citations
Publisher
DOI
10.1007/978-3-642-83154-6_14

Related papers

Decoupled Cell Monte Carlo Method for Quantum Spin Systems

Shigeo Homma, Kazuhiro Sano, H. Matsuda +1 more

Springer series in solid-state sciences•Jan 1, 1987•0 citations

Monte Carlo Method for Quantum Spin Systems Based on the Bloch Coherent State Representation

Hiroshi Takano

On the basis of the path integral representation of the partition function of a quantum spin system, which is derived by Lieb with use of the Bloch coherent state representation, we propose a new Monte Carlo method for quantum spin systems. In this method, the magnitude S of the spin can be varied freely, because S appears in the path integral only as a parameter. The approximation used in this method can be systematically improved by the 1/n-expansion, where n is the additional dimension in the path integral representation. The formulation and some properties of the method are discussed. Simple examples of the application of the method are also presented.

Progress of Theoretical Physics•Feb 1, 1985•11 citations

Monte Carlo simulation of quantum spin systems

俊文 坂口

•Jan 1, 1985•0 citations

Monte Carlo Evaluation of Functional Integrals Using Coherent-State Slater Determinants

Y. Avishai, J. Richert

The feasibility of using Monte Carlo methods in finite fermion systems has been investigated. The basic tool is a (recently suggested) functional integral representation of $Z=\mathrm{tr}[\mathrm{exp}(\ensuremath{-}\ensuremath{\beta}II)]$ using real coherent states of Slater determinants. Conditions for using the discretized ($N$-point lattice) version as a starting point for Monte Carlo integrations are studied. The limit of large $\ensuremath{\beta}$ is achieved only with large $\ensuremath{\surd}N$. For a two-fermion system numerical calculations of the ground-state energy agree farily well with the exact value.

Physical Review Letters•Apr 18, 1983•9 citations

Monte Carlo simulation of quantum spin systems

Sakaguchi Toshifumi

•Dec 3, 2007•0 citations

Quantum-Statistical Monte Carlo Method for Heisenberg Spins

J. W. Lyklema

An exact Monte Carlo method for calculating thermodynamic properties of quantum spin systems is described. Results for one-dimensional ferromagnetic and antiferromagnetic systems and for three-dimensional ferromagnetic systems show that the method can be used to study quantum spin systems as extensively as classical spin systems are studied with conventional Monte Carlo methods.

Physical Review Letters•Jul 12, 1982•67 citations
On the basis of the path integral representation of the partition function of a quantum spin system, which is derived by Lieb with use of the Bloch coherent state representation, we propose a new Monte Carlo method for quantum spin systems. In this method, the magnitude S of the spin can be varied freely, because S appears in the path integral only as a parameter. The approximation used in this method can be systematically improved by the 1/n-expansion, where n is the additional dimension in the path integral representation. The formulation and some properties of the method are discussed. Simple examples of the application of the method are also presented.
The feasibility of using Monte Carlo methods in finite fermion systems has been investigated. The basic tool is a (recently suggested) functional integral representation of $Z=\mathrm{tr}[\mathrm{exp}(\ensuremath{-}\ensuremath{\beta}II)]$ using real coherent states of Slater determinants. Conditions for using the discretized (NNN-point lattice) version as a starting point for Monte Carlo integrations are studied. The limit of large $\ensuremath{\beta}$ is achieved only with large $\ensuremath{\surd}N$. For a two-fermion system numerical calculations of the ground-state energy agree farily well with the exact value.