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- Gaussian phase-space representations for fermions
- Corney, J. F.; Drummond, P. D.
- 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.
- Publication type
- Journal article
- Physical Review B: Condensed Matter and Materials Physics, Vol. 73, no. 12 (2006), article no. 125112
- Publication year
- FOR Code(s)
- 0204 Condensed Matter Physics; 0206 Quantum Physics
- Fermi gases; Hubbard model
- American Physical Society
- Publisher URL
- Copyright © 2006 The American Physical Society. Published version of this paper reproduced here in accordance with the copyright policy of the publisher.
- Full text
- Peer reviewed