A Quantum Monte Carlo method at fixed energy

被引:2
|
作者
Farhi, Edward [1 ]
Goldstone, Jeffrey [1 ]
Gosset, David [1 ]
Meyer, Harvey B. [1 ,2 ]
机构
[1] MIT, Ctr Theoret Phys, Cambridge, MA 02139 USA
[2] CERN, Dept Phys, CH-1211 Geneva 23, Switzerland
基金
美国国家科学基金会; 加拿大自然科学与工程研究理事会;
关键词
Quantum Monte Carlo; Quantum spin systems; MODEL;
D O I
10.1016/j.cpc.2011.04.021
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In this paper we explore ways to study the zero temperature limit of quantum statistical mechanics using Quantum Monte Carlo simulations. We develop a Quantum Monte Carlo method in which one fixes the ground state energy as a parameter. The Hamiltonians we consider are of the form H = H-0 + lambda V with ground state energy E. For fixed H-0 and V. one can view E as a function of lambda whereas we view lambda as a function of E. We fix E and define a path integral Quantum Monte Carlo method in which a path makes no reference to the times (discrete or continuous) at which transitions occur between states. For fixed E we can determine lambda(E) and other ground state properties of H. (C) 2011 Elsevier BM. All rights reserved.
引用
收藏
页码:1663 / 1673
页数:11
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