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Configuration Path Integral Monte Carlo

โœ Scribed by T. Schoof; M. Bonitz; A. Filinov; D. Hochstuhl; J.W. Dufty

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
183 KB
Volume
51
Category
Article
ISSN
0005-8025

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โœฆ Synopsis

Abstract

A novel path integral Monte Carlo (PIMC) approach for correlated manyโ€particle systems with arbitrary pair interaction in continuous space at low temperatures is presented. It is based on a representation of the N โ€particle density operator in a basis of (antiโ€)symmetrized N โ€particle states (configurations of occupation numbers). The path integral is transformed into a sum over trajectories with the same topology and, finally, the limit of M โ†’ โˆž, where M is the number of highโ€temperature factors, is analytically performed. This yields exact expressions for the thermodynamic quantities and allows to perform efficient simulations for fermions at low temperature and weak to moderate coupling. Our method is expected to be applicable to dense quantum plasmas in the regime of strong degeneracy where conventional PIMC fails due to the fermion sign problem (ยฉ 2011 WILEYโ€VCH Verlag GmbH & Co. KGaA, Weinheim)

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