Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2008-03-17
Phys. Rev. A 77, 063613 (2008)
Physics
Condensed Matter
Strongly Correlated Electrons
5 pages, 3 figures
Scientific paper
10.1103/PhysRevA.77.063613
We study the crossover of a quasi-two-dimensional Fermi gas trapped in the radial plane from the Bardeen-Cooper-Schrieffer (BCS) regime to the Bose-Einstein condensation (BEC) regime by crossing a wide Feshbach resonance. We consider two effective two-dimensional Hamiltonians within the mean-field level, and calculate the zero-temperature cloud size and number density distribution. For a model 1 Hamiltonian with renormalized atom-atom interaction, we observe a constant cloud size for arbitrary detunings. For a model 2 Hamiltonian with renormalized interactions between atoms and dressed molecules, the cloud size deceases from the BCS to BEC side, which is consistent with the picture of BCS-BEC crossover. This qualitative discrepancy between the two models indicates that the inclusion of dressed molecules is essential for a mean-field description of quasi-two-dimensional Fermi systems, especially on the BEC side of the Feshbach resonance.
Duan Lu-Ming
Lin Guin-Dar
Zhang Wanchuan
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