A quantum Monte Carlo algorithm realizing an intrinsic relaxation

Details A quantum Monte Carlo algorithm realizing an intrinsic relaxation A quantum Monte Carlo algorithm realizing an intrinsic relaxation

2003-01-29

arxiv.org/abs/cond-mat/0301560v2

J. Phys. Soc. Jpn. 72 (2003) 2405

Physics

Condensed Matter

Statistical Mechanics

9 pages, 4 figures

Scientific paper

10.1143/JPSJ.72.2405

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 $\tau\sim \xi^z$ 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.

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