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Gaussian phase-space representations for fermions

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posted on 2024-07-10, 00:45 authored by J. F. Corney, Peter DrummondPeter Drummond
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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ISSN

1098-0121

Journal title

Physical Review B - Condensed Matter and Materials Physics

Volume

73

Issue

12

Article number

article no. 125112

Publisher

American Physical Society

Copyright statement

Copyright © 2006 The American Physical Society. The published version is reproduced in accordance with the copyright policy of the publisher.

Language

eng

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