Low-temperature thermodynamics of the unitary Fermi gas: Superfluid fraction, first sound, and second sound

Journal Article · Wed Dec 15 00:00:00 EST 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.063619· OSTI ID:21528942

Salasnich, Luca ^[1]

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1. INO-CNR and Dipartimento di Fisica 'Galileo Galilei', Universita di Padova, Via Marzolo 8, 35122 Padova (Italy)

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.

• OSTI ID: 21528942
• Journal Information: Physical Review. A, Vol. 82, Issue 6; Other Information: DOI: 10.1103/PhysRevA.82.063619; (c) 2010 American Institute of Physics; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
ATOMS
COMPARATIVE EVALUATIONS
CRITICAL TEMPERATURE
DENSITY
ENTROPY
EXCITATION
EXPERIMENTAL DATA
FERMI GAS
FREE ENERGY
NUCLEAR MATTER
SECOND SOUND
SOUND WAVES
SUPERFLUIDITY
TEMPERATURE RANGE 0065-0273 K
TEMPERATURE ZERO K
THERMODYNAMICS
DATA
ENERGY
ENERGY-LEVEL TRANSITIONS
EVALUATION
INFORMATION
MATHEMATICAL SOLUTIONS
MATTER
NUMERICAL DATA
PHYSICAL PROPERTIES
TEMPERATURE RANGE
THERMODYNAMIC PROPERTIES
TRANSITION TEMPERATURE