Thermodynamics and coherence of a trapped dipolar Fermi gas

Details Thermodynamics and coherence of a trapped dipolar Fermi gas Thermodynamics and coherence of a trapped dipolar Fermi gas

2010-07-27

arxiv.org/abs/1007.4844v1

Phys. Rev. A 82, 033605 (2010)

Physics

Condensed Matter

Quantum Gases

12 pages, 8 figures

Scientific paper

10.1103/PhysRevA.82.033605

We develop a meanfield treatment of a polarized trapped Fermi gas with dipole-dipole interactions. Our approach is based on self-consistent semiclassical Hartree-Fock theory that accounts for direct and exchange interactions. We discuss our procedure for numerically implementing the calculation. We study the thermodynamic and the first and second order correlation properties of the system. We find that the system entropy depends on the trap geometry, allowing the system to be cooled as the trap aspect ratio is increased, and that exchange interactions cause the correlation functions to be anisotropic in the low temperature regime. We also find that many uniform gas thermodynamic predictions, for which direct interaction effects vanish, are qualitatively unreliable for trapped systems, most notably for oblate traps. We develop a simplified Hartree formalism that is applicable to anisotropic harmonic traps.

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