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Title

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

Author(s)

Peng, Shi-Guo;  Li, Shi-Qun;  Drummond, Peter D.;  Liu, Xia-Ji

Abstract

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.

Publication type

Journal article

Research centre

Swinburne University of Technology. Faculty of Engineering and Industrial Sciences. Centre for Atom Optics and Ultrafast Spectroscopy

Source

Physical Review A, Vol. 83, no. 6 (Jun 2011), paper no. 063618

Publication year

2011

FOR Code(s)

0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics;  0204 Condensed Matter Physics;  0205 Optical Physics

Keyword(s)

Fermi gases;  Fermions;  Harmonic trap;  High-temperature thermodynamics;  Virial expansion

Publisher

American Physical Society

ISSN

1050-2947

Publisher URL

http://dx.doi.org/10.1103/PhysRevA.83.063618

Copyright

Copyright © 2011 American Physical Society. Published version of the paper reproduced here with the kind permission of the publisher.

Research Projects

Imbalanced superfluidity: the quantum mystery that defies solution, Australian Research Project grant number DP0984637
Dynamics and correlations of many-body systems, Australian Research Council grant number DP0880404

Full text

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