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Self-learning Monte Carlo method

2017; American Physical Society; Volume: 95; Issue: 4 Linguagem: Inglês

10.1103/physrevb.95.041101

2469-9977

Junwei Liu, Yang Qi, Zi Yang Meng, Liang Fu,

Material Dynamics and Properties

Monte Carlo simulation is an unbiased numerical tool for studying classical and quantum many-body systems. One of its bottlenecks is the lack of a general and efficient update algorithm for large size systems close to the phase transition, for which local updates perform badly. In this Rapid Communication, we propose a general-purpose Monte Carlo method, dubbed self-learning Monte Carlo (SLMC), in which an efficient update algorithm is first learned from the training data generated in trial simulations and then used to speed up the actual simulation. We demonstrate the efficiency of SLMC in a spin model at the phase transition point, achieving a 10--20 times speedup.