Virial relations for ultracold trapped Fermi gases with finite range interactions through the BCS-BEC crossover

Details Virial relations for ultracold trapped Fermi gases with finite range interactions through the BCS-BEC crossover Virial relations for ultracold trapped Fermi gases with finite range interactions through the BCS-BEC crossover

2009-09-03

arxiv.org/abs/0909.0673v1

Physics

Condensed Matter

Quantum Gases

6 pages, 5 figures

Scientific paper

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 BCS-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. They are found to have extreme values at the unitary limit. The virial results are used to check the quality of the variational wave function involved in the calculations.

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