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Title: Regime of validity of the pairing Hamiltonian in the study of Fermi gases

Journal Article · · Physical Review. B, Condensed Matter and Materials Physics
DOI:https://doi.org/10.1103/PHYSREVB.73.2· OSTI ID:20788199
;  [1]
  1. Department of Physics, University of Illinois at Urbana-Champaign, 1110 W. Green Street, Urbana, Illinois 61801 (United States)

The ground state energy and pairing gap of the interacting Fermi gases calculated by the ab initio stochastic method are compared with those estimated from the Bardeen-Cooper-Schrieffer pairing Hamiltonian. We discuss the ingredients of this Hamiltonian in various regimes of interaction strength. In the weakly interacting (1/ak{sub F}<<0) regime the BCS Hamiltonian should describe Landau quasiparticle energies and interactions, on the other hand, in the strongly pairing regime, that is, 1/ak{sub F} > or approx. 0, it becomes part of the bare Hamiltonian. However, the bare BCS Hamiltonian is not adequate for describing atomic gases in the regime of weak to moderate interaction strength -{infinity}<1/ak{sub F}<0 such as ak{sub F}{approx}-1.

OSTI ID:
20788199
Journal Information:
Physical Review. B, Condensed Matter and Materials Physics, Vol. 73, Issue 21; Other Information: DOI: 10.1103/PhysRevB.73.212502; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1098-0121
Country of Publication:
United States
Language:
English