Dynamical mean-field equations for strongly interacting fermionic atoms in arbitrary potential trapsW. Yi and L.-M. Duan
FOCUS center and MCTP, Department of Physics, University of Michigan Ann Arbor, MI 48109, USA
received 2 June 2006; accepted in final form 27 July 2006
published online 16 August 2006
We derive a set of general dynamical mean-field equations for strongly interacting fermionic atoms in arbitrary slowly varying potential traps. Our derivation generalizes the ansatz of the crossover wave function to the inhomogeneous case. The equations reduce to a time-dependent Gross-Pitaevskii equation on the BEC side of the resonance. We discuss an iteration method to solve these mean-field equations, and present the solution for a harmonic trap as an illustrating example, which self-consistently verifies the approximations made in our derivation.
03.75.Ss - Degenerate Fermi gases.
05.30.Fk - Fermion systems and electron gas.
34.50.-s - Scattering of atoms and molecules.
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