Monte Carlo approach to phase transitions in quantum systems

被引：2

作者：

Kawashima, Naoki ^{[1
]}

Kato, Yasuyuki ^{[1
]}

机构：

[1] Inst Solid State Phys, Chiba 2778581, Japan

来源：

INTERNATIONAL WORKSHOP ON STATISTICAL-MECHANICAL INFORMATICS 2008 (IW-SMI 2008) | 2009年 / 143卷

关键词：

SUPERFLUID; INSULATOR; LATTICE;

D O I：

10.1088/1742-6596/143/1/012012

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We propose algorithms of the path-ingetral-based quantum Monte Carlo simulation, which is otherwise prohibitively slow. While the basic idea is the loop-cluster update, there are some important "tricks" that are vital to make the simulation practical. In the present paper, we show two such techniques and their successful applications to the two-dimensional SU(N) Heisenberg model and the three-dimensional Bose Hubbard model. In the former, we obtain a new type of the valence-bond-solid state for the two-boson representation, while in the latter we equillibrate a system of which the size is comparable to a typical experiment of optical lattices.

引用

页数：11

共 24 条

[1] Quantum logic gates in optical lattices [J].