Low-temperature thermodynamics of the unitary Fermi gas: superfluid fraction, first sound and second sound
arXiv:1011.4893 · doi:10.1103/PhysRevA.82.063619
Abstract
We investigate the low-temperature thermodynamics of the unitary Fermi gas by introducing a model based on the zero-temperature spectra of both bosonic collective modes and fermonic single-particle excitations. We calculate the Helmholtz free energy and from it we obtain the entropy, the internal energy and the chemical potential as a function of the temperature. By using these quantities and the Landau's expression for the superfluid density we determine analytically the superfluid fraction, the critical temperature, the first sound velocity and the second sound velocity. We compare our analytical results with other theoretical predictions and experimental data of ultracold atoms and dilute neutron matter.
7 pages, 6 figures, accepted to publication in Phys. Rev. A
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Cited by in corpus (6)
- Shell-shaped atomic gases
- Second sound with ultracold atoms: A brief historical account
- Dynamical properties of the unitary Fermi gas: collective modes and shock waves
- Unitary Fermi superfluid near the critical temperature: thermodynamics and sound modes from elementary excitations
- First and second sound of a unitary Fermi gas in highly elongated harmonic traps
- Density of states for the Unitary Fermi gas and the Schwarzschild black hole