Universal Thermodynamics of Degenerate Quantum Gases in the Unitarity Limit

Details Universal Thermodynamics of Degenerate Quantum Gases in the Unitarity Limit Universal Thermodynamics of Degenerate Quantum Gases in the Unitarity Limit

2003-09-04

arxiv.org/abs/cond-mat/0309109v1

Phys.Rev.Lett.92:090402,2004

Physics

Condensed Matter

4 pages text, 1 figure on a separate page

Scientific paper

10.1103/PhysRevLett.92.090402

We perform a systematic study of the thermodynamics of quantum gases in the unitarity limit. Our study makes use of a "Universality Hypothesis" for the relevant energy scales of a many-body system at unitarity. This Hypothesis is supported by recent experiments and can be proven in Boltzmann regime. It implies a universal form for the grand potential which is characterized by only a few universal numbers in degenerate limit. This universal form provides a simple way to determine the density profile of a trapped fermion superfluid as well as the second sound velocity of a homogeneous superfluid at unitarity.

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