An exact representation of the fermion dynamics in terms of Poisson processes and its connection with Monte Carlo algorithms

Details An exact representation of the fermion dynamics in terms of Poisson processes and its connection with Monte Carlo algorithms An exact representation of the fermion dynamics in terms of Poisson processes and its connection with Monte Carlo algorithms

1998-10-26

arxiv.org/abs/cond-mat/9810347v3

Europhys.Lett. 48 (1999) 243-249

Physics

Condensed Matter

4 pages, 1 PostScript figure, REVTeX

Scientific paper

10.1209/epl/i1999-00472-2

We present a simple derivation of a Feynman-Kac type formula to study fermionic systems. In this approach the real time or the imaginary time dynamics is expressed in terms of the evolution of a collection of Poisson processes. A computer implementation of this formula leads to a family of algorithms parametrized by the values of the jump rates of the Poisson processes. From these an optimal algorithm can be chosen which coincides with the Green Function Monte Carlo method in the limit when the latter becomes exact.

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