Gaussian phase-space representations for fermions

J. F. Corney and P. D. Drummond
Phys. Rev. B 73, 125112 – Published 22 March 2006

Abstract

We introduce a positive phase-space representation for fermions, using the most general possible multimode Gaussian operator basis. The representation generalizes previous bosonic quantum phase-space methods to Fermi systems. We derive equivalences between quantum and stochastic moments, as well as operator correspondences that map quantum operator evolution onto stochastic processes in phase space. The representation thus enables first-principles quantum dynamical or equilibrium calculations in many-body Fermi systems. Potential applications are to strongly interacting and correlated Fermi gases, including coherent behavior in open systems and nanostructures described by master equations. Examples of an ideal gas and the Hubbard model are given, as well as a generic open system, in order to illustrate these ideas.

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  • Received 2 November 2005

DOI:https://doi.org/10.1103/PhysRevB.73.125112

©2006 American Physical Society

Authors & Affiliations

J. F. Corney and P. D. Drummond

  • ARC Centre of Excellence for Quantum-Atom Optics, University of Queensland, Brisbane 4072, Queensland, Australia

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Issue

Vol. 73, Iss. 12 — 15 March 2006

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