Popov approximation for composite bosons in the BCS-BEC crossover

Details Popov approximation for composite bosons in the BCS-BEC crossover Popov approximation for composite bosons in the BCS-BEC crossover

2004-07-28

arxiv.org/abs/cond-mat/0407728v1

Phys. Rev. B 71, 094520 (2005)

Physics

Condensed Matter

Superconductivity

13 pages, 4 figures

Scientific paper

10.1103/PhysRevB.71.094520

Theoretical treatments of the BCS-BEC crossover need to provide as accurate as possible descriptions of the two regimes where the diluteness condition applies, either in terms of the constituent fermions (BCS limit) or of the composite bosons which form as bound-fermion pairs (BEC limit). This has to occur via a single fermionic theory that bridges across these two limiting representations. In this paper, we set up successive improvements of the fermionic theory, that result into composite bosons described at the level of either the Bogoliubov or the Popov approximations for point-like bosons. This work bears on the recent experimental advances on the BCS-BEC crossover with trapped Fermi atoms, which show the need for accurate theoretical descriptions of BEC side of the crossover.

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