A quantum Monte Carlo algorithm realizing an intrinsic relaxation
摘要
We propose a new quantum Monte Carlo algorithm which realizes a relaxation intrinsic to the original quantum system. The Monte Carlo dynamics satisfies the dynamic scaling relation and is independent of the Trotter number. Finiteness of the Trotter number just appears as the finite-size effect. An infinite Trotter number version of the algorithm is also formulated, which enables us to observe a true relaxation of the original system. The strategy of the algorithm is a compromise between the conventional worldline local flip and the modern cluster loop flip. It is a local flip in the real-space direction and is a cluster flip in the Trotter direction. The new algorithm is tested by the transverse-field Ising model in two dimensions. An accurate phase diagram is obtained.
引用
@article{arxiv.cond-mat/0301560,
title = {A quantum Monte Carlo algorithm realizing an intrinsic relaxation},
author = {Tota Nakamura and Yoshiyuki Ito},
journal= {arXiv preprint arXiv:cond-mat/0301560},
year = {2009}
}
备注
9 pages, 4 figures