High-temperature thermodynamics of strongly interacting s-wave and p-wave Fermi gases in a harmonic trap

Journal Article · Wed Jun 15 04:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.83.063618· OSTI ID:21550163

Shiguo, Peng ^[1]; Shiqun, Li ^[1]; Drummond, Peter D; Xiaji, Liu ^[2]

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1. Department of Physics, Tsinghua University, Beijing, 100084 (China)
2. Centre for Atom Optics and Ultrafast Spectroscopy, Swinburne University of Technology, Melbourne 3122 (Australia)

We theoretically investigate the high-temperature thermodynamics of a strongly interacting trapped Fermi gas near either s-wave or p-wave Feshbach resonances, using a second-order quantum virial expansion. The second virial coefficient is calculated based on the energy spectrum of two interacting fermions in a harmonic trap. We consider both isotropic and anisotropic harmonic potentials. For the two-fermion interaction, either s-wave or p-wave, we use a pseudopotential parametrized by a scattering length and an effective range. This turns out to be the simplest way of encoding the energy dependence of the low-energy scattering amplitude or phase shift. This treatment of the pseudopotential can be easily generalized to higher partial-wave interactions. We discuss how the second virial coefficient and thermodynamics are affected by the existence of these finite-range interaction effects. The virial expansion result for a strongly interacting s-wave Fermi gas has already been proved very useful. In the case of p-wave interactions, our results for the high-temperature equation of state are applicable to future high-precision thermodynamic measurements for a spin-polarized Fermi gas near a p-wave Feshbach resonance.

• OSTI ID: 21550163
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 6 Vol. 83; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ACCURACY
AMPLITUDES
ANISOTROPY
BASIC INTERACTIONS
DIMENSIONS
ENERGY DEPENDENCE
ENERGY SPECTRA
EQUATIONS
EQUATIONS OF STATE
FERMI GAS
FERMIONS
FINITE-RANGE INTERACTIONS
HARMONIC POTENTIAL
INTERACTIONS
LENGTH
NUCLEAR POTENTIAL
ORIENTATION
P WAVES
PARTIAL WAVES
PHASE SHIFT
POTENTIALS
RESONANCE
S WAVES
SCATTERING AMPLITUDES
SCATTERING LENGTHS
SPECTRA
SPIN ORIENTATION
STRONG INTERACTIONS
TEMPERATURE RANGE
TEMPERATURE RANGE 0400-1000 K
THERMODYNAMICS