Gaussian phase-space representations for fermions

Corney, J. F. and Drummond, P. D. (2006) Gaussian phase-space representations for fermions. Physical Review B, 73 12: 125112. doi:10.1103/PhysRevB.73.125112

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Author Corney, J. F.
Drummond, P. D.
Title Gaussian phase-space representations for fermions
Journal name Physical Review B   Check publisher's open access policy
ISSN 1098-0121
Publication date 2006
Sub-type Article (original research)
DOI 10.1103/PhysRevB.73.125112
Open Access Status File (Publisher version)
Volume 73
Issue 12
Start page 125112
Total pages 15
Editor Peter D Adams
Anthony M Begley
Place of publication College Pk
Publisher American Physical Soc
Collection year 2006
Language eng
Subject C1
240402 Quantum Optics and Lasers
780102 Physical sciences
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.
Keyword Physics, Condensed Matter
Quantum Monte-carlo
Optical Bistability
Density Operators
Q-Index Code C1

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Created: Wed, 15 Aug 2007, 08:47:03 EST