Self-trapping of a Fermi super-fluid in a double-well potential in the BEC-unitarity crossover

Details Self-trapping of a Fermi super-fluid in a double-well potential in the BEC-unitarity crossover Self-trapping of a Fermi super-fluid in a double-well potential in the BEC-unitarity crossover

2009-11-04

arxiv.org/abs/0911.0815v1

Phys. Rev. A 80 (2009) 063607 (pp1-10)

Physics

Condensed Matter

Quantum Gases

10 pages, 9 figures

Scientific paper

We derive a generalized Gross-Pitaevskii density-functional equation appropriate to study the Bose-Einstein condensate (BEC) of dimers formed of singlet spin-half Fermi pairs in the BEC-unitarity crossover while the dimer-dimer scattering length $a$ changes from 0 to $\infty$. Using an effective one-dimensional form of this equation, we study the phenomenon of dynamical self-trapping of a cigar-shaped Fermi super-fluid in the entire BEC-unitarity crossover in a double-well potential. A simple two-mode model is constructed to provide analytical insights. We also discuss the consequence of our study on the self-trapping of an atomic BEC in a double-well potential.

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