BCS-to-BEC crossover from the exact BCS solution

Details BCS-to-BEC crossover from the exact BCS solution BCS-to-BEC crossover from the exact BCS solution

2005-03-29

arxiv.org/abs/cond-mat/0503664v2

Phys.Rev. A72 (2005) 043611

Physics

Condensed Matter

Superconductivity

5 pages, 4 figures. Revised version with one figure added

Scientific paper

10.1103/PhysRevA.72.043611

The BCS-to-BEC crossover, as well as the nature of Cooper pairs, in a superconducting and Fermi superfluid medium is studied from the exact ground state wavefunction of the reduced BCS Hamiltonian. As the strength of the interaction increases, the ground state continuously evolves from a mixed-system of quasifree fermions and pair resonances (BCS), to pair resonances and quasibound molecules (pseudogap), and finally to a system of quasibound molecules (BEC). A single unified scenario arises where the Cooper-pair wavefunction has a unique functional form. Several exact analytic expressions, such as the binding energy and condensate fraction, are derived. We compare our results with recent experiments in ultracold atomic Fermi gases.

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