title: Universal thermodynamics of degenerate quantum gases in the unitarity limit.
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.
authors.affiliation: Department of Physics, The Ohio State University, Columbus, Ohio 43210, USA.
authors.forename: Tin-Lun
authors.initials: TL
authors.lastname: Ho