Generalized virial theorem and pressure relation for a strongly correlated Fermi gas

2008/03/06 by Shina Tan · 5 citations
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Random Matrices and Applications #Spectral Theory in Mathematical Physics #cond-mat.stat-mech

paper · pdf · doi:10.1016/j.aop.2008.03.003

published as Annals of Physics 323 (2008) 2987-2990 · 5 pages

arxiv created 2008/03/06 · openalex publication_date 2008/03/27 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Weakly Bound Dimers of Fermionic Atoms

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