Deviations from Universality and the Contact in finite range interacting ultracold Fermi systems

Details Deviations from Universality and the Contact in finite range interacting ultracold Fermi systems Deviations from Universality and the Contact in finite range interacting ultracold Fermi systems

2012-02-14

arxiv.org/abs/1202.2939v2

Physics

Condensed Matter

Quantum Gases

4 pages, 3 figures

Scientific paper

Using the Bardeen-Cooper-Schriefer (BCS) ansatz, we investigate the deviations in the behavior of ground state thermodynamic properties of an interacting homogenous Fermi gas from the zero range interaction approximation. The considered finite range interatomic potential allows us to vary the strength of the interaction to study the whole crossover from the BCS limit to the Bose-Einstein condensation (BEC) limit with no approximations. In particular, we concentrate in analyzing the thermodynamic Contact variable across the weak and strong coupling limits. Our analysis validates the correctness of the zero range approximation (contact approximation) in the strongly interacting regime. We predict quantum phase transition-like behaviour for long range interatomic potentials. These findings follow from an energy dependent gap due to the finite range of the interatomic potential.

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