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Title

Virial relations for ultracold trapped Fermi gases with finite range interactions through the Bardeen-Cooper-Schrieffer Bose-Einstein-condensate crossover

Author(s)

Rosales-Zarate, L. E. C.;  Jauregui, R.

Abstract

We study the virial relations for ultracold trapped two-component Fermi gases in the case of short finite range interactions. Numerical verifications for such relations are reported through the Bardeen-Cooper-Schrieffer (BCS) Bose-Einstein-condensate (BEC) crossover. As an intermediate step, it is necessary to evaluate the partial derivatives of the many-body energy with respect to the inverse of the scattering length and with respect to the interaction range. Once the binding energy of the formed molecules in the BEC side is subtracted, the corresponding energy derivatives are found to have extreme values at the unitary limit. The value of the derivative with respect to the potential range in that limit is large enough to yield measurable differences between the total energy and twice the trapping energy unless the interacting system is described by extremely short potential ranges. The virial results are used to check the quality of the variational wavefunction involved in the calculations.

Publication type

Journal article

Source

New Journal of Physics, Vol. 12, no. (Apr 2010), article no. 043033

Publication year

2010

FOR Code(s)

02 Physical Sciences

Keyword(s)

Bardeen-Cooper-Schrieffer;  Binding energy;  Bose-Einstein-condensate;  Electron gas;  Energy derivatives;  Extreme value;  Fermi gas;  Fermions;  Interacting system;  Interaction ranges;  Many-body;  Numerical verification;  Partial derivatives;  Potential range;  Scattering length;  Statistical mechanics;  Total energy;  Trapped fermi gas;  Trapping energy;  Two-component;  Ultra-cold;  Unitary limits

Publisher

Institute of Physics Publishing

ISSN

1367-2630

Publisher URL

http://dx.doi.org/10.1088/1367-2630/12/4/043033

Copyright

Copyright © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. The published version is reproduced in accordance with the terms of the Creative Commons Attribution-Non-Commercial-ShareAlike 3.0 licence (http://creativecommons.org/licenses/by-nc-sa/3.0/).

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