Universal Thermodynamics of Degenerate Quantum Gases in the Unitarity Limit
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- 5 March 2004
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 92 (9) , 090402
- https://doi.org/10.1103/physrevlett.92.090402
Abstract
We perform a systematic study of the thermodynamics of quantum gases in the unitarity limit. Our study is based on a “universality hypothesis” for the relevant energy scales which is supported by experiments and can be proven in the Boltzmann regime. It implies a universal form for the grand potential, which is specified by only a few universal numbers in the degenerate limit. This hypothesis provides a simple way to determine the density profile of a trapped fermion superfluid. It implies a superfluid bump in the density and gives the general expression of the second sound velocity of a homogeneous superfluid at unitarity.Keywords
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