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Phys. Rev. A 72, 041601(R) (2005) [4 pages]

Simple mean-field model for condensates in the BEC-BCS crossover regime

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Cheng Chin
James Franck Institute and Department of Physics, University of Chicago, Chicago, Illinois 60637, USA and Institut für Experimentalphysik, Universität Innsbruck, Technikerstrasse 25, 6020 Innsbruck, Austria

Received 25 September 2004; published 3 October 2005

We present a mean-field model to describe condensates in the BEC-BCS crossover regime based on pairs of fermionic atoms. By introducing an effective potential, the mean-field equation allows us to calculate the chemical potential, the equation of states, and the atomic correlation function. The results agree surprisingly well with recent many-body calculations. We show that the smooth crossover from the bosonic mean-field repulsion between molecules to the Fermi pressure among atoms is associated with the evolution of the atomic correlation function.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.72.041601
DOI:
10.1103/PhysRevA.72.041601
PACS:
03.75.Hh, 05.30.Fk, 34.50.−s, 39.25.+k