Thermodynamics and coherence of a trapped dipolar Fermi gas
arXiv:1007.4844 · doi:10.1103/PhysRevA.82.033605
Abstract
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.
12 pages, 8 figures
References in corpus (14)
- A High Phase-Space-Density Gas of Polar Molecules
- Spatial quantum noise interferometry in expanding ultracold atom clouds
- Bogoliubov modes of a dipolar condensate in a cylindrical trap
- Critical Behavior of a Trapped Interacting Bose Gas
- Cold Atoms and Molecules in Self-Assembled Dipolar Lattices
- Phase space deformation of a trapped dipolar Fermi gas
- Dipolar Bose-Einstein condensates with dipole-dependent scattering length
- Theory of correlations between ultra-cold bosons released from an optical lattice
- Hydrodynamic excitations of trapped dipolar fermions
- Finite temperature theory of superfluid bosons in optical lattices
- The stability and free expansion of a dipolar Fermi gas
- Structure and melting behavior of classical bilayer crystals of dipoles
- Numerical method for evolving the dipolar projected Gross-Pitaevskii equation
- Vortex line in a neutral finite-temperature superfluid Fermi gas