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Quantum Monte Carlo simulation in the canonical ensemble at finite temperature

K. Van Houcke, S. M. A. Rombouts, and L. Pollet

  • Universiteit Gent, UGent, Vakgroep Subatomaire en Stralingsfysica, Proeftuinstraat 86, B-9000 Gent, Belgium

Phys. Rev. E 73, 056703 – Published 16 May, 2006

DOI: https://doi.org/10.1103/PhysRevE.73.056703

Abstract

A quantum Monte Carlo method with a nonlocal update scheme is presented. The method is based on a path-integral decomposition and a worm operator which is local in imaginary time. It generates states with a fixed number of particles and respects other exact symmetries. Observables like the equal-time Green’s function can be evaluated in an efficient way. To demonstrate the versatility of the method, results for the one-dimensional Bose-Hubbard model and a nuclear pairing model are presented. Within the context of the Bose-Hubbard model the efficiency of the algorithm is discussed.

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