Relieving the fermionic and the dynamical sign problem: Multilevel Blocking Monte Carlo simulations

Details Relieving the fermionic and the dynamical sign problem: Multilevel Blocking Monte Carlo simulations Relieving the fermionic and the dynamical sign problem: Multilevel Blocking Monte Carlo simulations

2001-09-10

arxiv.org/abs/cond-mat/0109173v1

Physics

Condensed Matter

Statistical Mechanics

Review, 20 pages REVTeX, incl. 7 figures

Scientific paper

This article gives an introduction to the multilevel blocking (MLB) approach to both the fermion and the dynamical sign problem in path-integral Monte Carlo simulations. MLB is able to substantially relieve the sign problem in many situations. Besides an exposition of the method, its accuracy and several potential pitfalls are discussed, providing guidelines for the proper choice of certain MLB parameters. Simulation results are shown for strongly interacting electrons in a 2D parabolic quantum dot, the real-time dynamics of several simple model systems, and the dissipative two-state dynamics (spin-boson problem).

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