On the specific heat of a fermionic atomic cloud in the unitary regime

Abstract

In the unitary regime, when the scattering amplitude greatly exceeds in magnitude the average inter-particle separation, and below the critical temperature thermal properties of an atomic fermionic cloud are governed by the collective modes, specifically the Bogoliubov-Anderson sound modes. The specific heat of an atomic cloud in a elongated trap in particular has a rather compex temperature dependence, which changes from an exponential behavior at very low temperatures ($T\ll \hslash {\omega }_{||}$), to $\propto T$ for $\hslash {\omega }_{||}\ll T\ll \hslash {\omega }_{\perp }$ and then continuosly to $\propto T^4$ at temperatures just below the critical temperature, when the surface modes play a dominant role. Only the low ($\hslash {\omega }_{||}\ll T\ll \hslash {\omega }_{\perp }$) and high ($\hslash {\omega }_{\perp }\ll T<T_c$) temperature power laws are well defined. For the intermediate temperatures one can introduce at most a gradually increasing with temperature exponent.

4 pages

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Cited by in corpus (4)

• Spin 1/2 Fermions in the Unitary Regime: A Superfluid of a New Type
• BCS-BEC crossover of neutron pairs in symmetric and asymmetric nuclear matter
• Low-momentum ring diagrams of neutron matter at and near the unitary limit
• Effective theory of excitations in a Feshbach resonant superfluid