Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas

Details Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas

2008-03-06

arxiv.org/abs/0803.0841v1

Annals of Physics 323 (2008) 2987-2990

Physics

Condensed Matter

Statistical Mechanics

5 pages

Scientific paper

10.1016/j.aop.2008.03.003

For a two-component Fermi gas in the unitarity limit (ie, with infinite scattering length), there is a well-known virial theorem, first shown by J. E. Thomas et al, Phys. Rev. Lett. 95, 120402 (2005). A few people rederived this result, and extended it to few-body systems, but their results are all restricted to the unitarity limit. Here I show that there is a generalized virial theorem for FINITE scattering lengths. I also generalize an exact result concerning the pressure, first shown in cond-mat/0508320, to the case of imbalanced populations.

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