A Multilevel Blocking Approach to the Sign Problem in Real-Time Quantum Monte Carlo Simulations

Details A Multilevel Blocking Approach to the Sign Problem in Real-Time Quantum Monte Carlo Simulations A Multilevel Blocking Approach to the Sign Problem in Real-Time Quantum Monte Carlo Simulations

1998-10-27

arxiv.org/abs/physics/9810058v1

J. Chem. Phys. 110, 12 (1999)

Physics

Chemical Physics

4 pages, 2 eps figures, REVTeX

Scientific paper

10.1063/1.478077

We propose a novel approach toward the general solution of the sign problem in real-time path-integral simulations. Using a recursive multilevel blocking strategy, this method circumvents the sign problem by synthesizing the phase cancellations arising from interfering quantum paths on multiple timescales. A number of numerical examples with one or a few explicit degrees of freedom illustrate the usefulness of the method.

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