A New effective interaction for the trapped fermi gas: the BEC-BCS crossover - INSPIRE

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A New effective interaction for the trapped fermi gas: the BEC-BCS crossover

C.N. Gilbreth
(
- Yale U.
)
,
Y. Alhassid
(
- Yale U.
)

Aug, 2011

10 pages

Published in:

Phys.Rev.A 85 (2012) 033621

e-Print:

1108.2687 [cond-mat.quant-gas]

DOI:

10.1103/PhysRevA.85.033621

View in:

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Abstract: (arXiv)

We extend a recently introduced separable interaction for the unitary trapped Fermi gas to all values of the scattering length. We derive closed expressions for the interaction matrix elements and the two-particle eigenvectors and analytically demonstrate the convergence of this interaction to the zero-range two-body pseudopotential for s-wave scattering. We apply this effective interaction to the three- and four-particle systems along the BEC-BCS crossover, and find that their low-lying energies exhibit convergence in the regularization parameter that is much faster than for the conventional renormalized contact interaction. We find similar convergence properties of the three-particle free energy at unitarity.

Note:

10 pages, 7 figures

21.60.Cs
31.15.-p
05.30.Fk
03.75.Ss

References(40)

Figures(6)

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