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Title

Gaussian quantum Monte Carlo methods for fermions and bosons

Author(s)

Corney, J. F.;  Drummond, P. D.

Abstract

A novel class of quantum Monte Carlo methods, which were based on a Gaussian quantum operator representation of fermionic states was investigated. The finite-temperature properties of the two dimensional Hubbard model and the dynamics in a simple model of coherent molecular dissociation were calculated as an application relevant to the Fermi sign problem. The identities for first-principles calculations of the time evolution of quantum systems, both dynamical and canonical were also discussed. The results show that many-body quantum systems map exactly to stochastic equations if a suitable stochastic gage is chosen which eliminates all boundary terms.

Publication type

Journal article

Source

Physical Review Letters, Vol. 93, no. 26 (2004), article no. 260401

Publication year

2004

FOR Code(s)

02 Physical Sciences

Keyword(s)

Bose-Fermi systems;  Bosons;  Boundary value problems;  Computer simulation;  Fermi level;  Fermions;  Gages;  Gaussian noise;  High-energy lattices;  High energy physics;  Integral equations;  Mathematical models;  Matrix algebra;  Monte Carlo methods;  Pauli blocking;  QMC;  Quantum Monte Carlo;  Quantum theory;  Random processes;  Thermal effects

Publisher

American Physical Society

ISSN

0031-9007

Publisher URL

http://dx.doi.org/10.1103/PhysRevLett.93.260401

Copyright

Copyright © 2004 The American Physical Society. Published version of this paper reproduced here in accordance with the copyright policy of the publisher.

Full text

Peer reviewed