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

Journal Article · Wed Jun 15 00:00:00 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, Vol. 83, Issue 6; Other Information: DOI: 10.1103/PhysRevA.83.063618; (c) 2011 American Institute of Physics; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

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