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18 April 2024

» arxiv » cond-mat/9810347

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An exact representation of the fermion dynamics in terms of Poisson processes and its connection with Monte Carlo algorithms
Matteo Beccaria ; Carlo Presilla ; Gian Fabrizio De Angelis ; Giovanni Jona-Lasinio ;
Date:	26 Oct 1998
Journal:	Europhys.Lett. 48 (1999) 243-249
Subject:	Condensed Matter; Data Structures and Algorithms; Mathematical Physics \| cond-mat cs.DS hep-lat math-ph math.MP quant-ph
Abstract:	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.
Source:	arXiv, cond-mat/9810347
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