物理学报2012，Vol.61Issue(11)：61-69,9.
大粒子数二维硬核玻色子系统的量子蒙特卡罗模拟
Simulation of two-dimensional many-particle hardcore bosons by using the quantum Monte Carlo method
摘要
Abstract
In this paper,the stochastic series expansion quantum Monte Carlo method is employed to investigate the thermodynamic properties of hardcore Bose-Hubbard model in two-dimensional space.The two-dimensional hardcore Bose-Hubbard model can be mapped into the two-dimensional antiferromagnetic quasi-Heisenberg model under transform of bosonic operators.There is an additional term which is proportional to the total number of sites compared with real Heisenberg model and it is difficult for simulation.Using a nonlocal ＂operator-loop update＂,it allows one to simulate thousands of sites.Our simulation results show that,first,energy decreases with the increase of density of particles in a range from 0 to 0.5,and finally approaches to a fixed value.Moreover,with the size of square lattice increasing,energy also increases.Second,when we fix the system size,energy and magnetization increase with temperature, but not with of chemical potential.When we increase the system size,energy increases,while,the magnetization decreases. Third,specific heat is independent of chemical potential,but it dramatically increases with temperature and approaches to a peak,then decreases slowly.According to Landau theory of superfluidity,the tends of curve for energy and specific heat fit the research of He II in the Landau two-fluid model.Fourth,different square lattice linear system sizes have a little influence on tiny differences to the reciprocal of uniform susceptibility.There are small fluctuations in a range from 0 to 0.5（J/k_B）,where J is the coupling energy,k_B is the Boltzmann constant,but the reciprocal of uniform susceptibility increases with temperature increasing in a range from 0.5 to 2（J/fca）.The tends of curve are similar to those of Kondo effect.关键词
量子蒙特卡罗方法/随机级数展开/硬核玻色子/玻色－赫伯德模型Key words
quantum Monte Carlo method/stochastic series expansions/hardcore Boson/Bose-Hubbard model分类
数理科学引用本文复制引用
许莹,李晋斌..大粒子数二维硬核玻色子系统的量子蒙特卡罗模拟[J].物理学报,2012,61(11):61-69,9.基金项目
国家自然科学基金（批准号：11104143）资助的课题. （）
