Semiclassical theory of trapped fermionic dipoles

Abstract

We investigate the properties of a degenerate dilute gas of neutral fermionic particles in a harmonic trap that interact via dipole-dipole forces. We employ the semiclassical Thomas-Fermi method and discuss the Dirac correction to the interaction energy. A nearly analytic as well as an exact numerical minimization of the Thomas-Fermi-Dirac energy functional are performed in order to obtain the density distribution. We determine the stability of the system as a function of the interaction strength, the particle number, and the trap geometry. We find that there are interaction strengths and particle numbers for which the gas cannot be trapped stably in a spherically symmetric trap, but both prolate and oblate traps will work successfully.

final version, 8 pages, 5 eps figures

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Cited by in corpus (42)

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• Dipolar physics: A review of experiments with magnetic quantum gases
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• Roton spectroscopy in a harmonically trapped dipolar Bose-Einstein condensate
• Anisotropic pseudo-potential for polarized dilute quantum gases
• Dynamical properties of dipolar Fermi gases
• Zero Sound in Dipolar Fermi Gases
• Supersolid Phase of Cold Fermionic Polar Molecules in 2D Optical Lattices
• Fermi surface of a trapped dipolar Fermi gas
• Expansion of a dipolar condensate
• Dipolar Fermi gases in anisotropic traps
• Hydrodynamic excitations of trapped dipolar fermions
• Ultracold Collisions of Fermionic OD Radicals
• Thermodynamic properties of a dipolar Fermi gas
• Ground state of two-component degenerate fermionic gases
• Thermodynamics and coherence of a trapped dipolar Fermi gas
• Formation of Selfbound States in a One-Dimensional Nuclear Model -- A Renormalization Group based Density Functional Study
• Collective excitations of quasi-two-dimensional trapped dipolar fermions: transition from collisionless to hydrodynamic regime
• Density Functional of a Two-Dimensional Gas of Dipolar Atoms: Thomas-Fermi-Dirac Treatment
• The stability and free expansion of a dipolar Fermi gas
• Luttinger model approach to interacting one-dimensional fermions in a harmonic trap
• Solitons and vortices in ultracold fermionic gases
• Optical generation of quasisolitons in a single-component gas of neutral fermionic atoms
• Two-component Fermi gas in a one-dimensional harmonic trap
• Systematic corrections to the Thomas-Fermi approximation without a gradient expansion
• A two species trap for chromium and rubidium atoms
• Universal relations for dipolar quantum gases
• Equilibrium Properties of a Trapped Dipolar Fermion at Finite Temperatures
• Magnetostriction and exchange effects in trapped dipolar Bose and Fermi gases
• Airy-averaged gradient corrections for two-dimensional fermion gases
• Correlation energy of a homogeneous dipolar Fermi gas
• Dynamical properties of a trapped dipolar Fermi gas at finite temperature
• Self-bound many-body states of quasi-one-dimensional dipolar Fermi gases: Exploiting Bose-Fermi mappings for generalized contact interactions
• Ground state of an ultracold Fermi gas of tilted dipoles in elongated traps
• Second-order interaction corrections to the Fermi surface and the quasiparticle properties of dipolar fermions in three dimensions
• Ground state of a two component dipolar Fermi gas in a harmonic potential
• Stability of a trapped dipolar quantum gas
• Stability of quantum degenerate Fermi gases of tilted polar molecules
• Interplay between shell structure and trap deformation in dipolar fermi gases
• Free Expansion of a Weakly-interacting Dipolar Fermi Gas
• Energy functionals of single-particle densities: A unified view