Ground-state densities of repulsive two-component Fermi gases

Abstract

We investigate separations of trapped balanced two-component atomic Fermi gases with repulsive contact interaction. Candidates for ground-state densities are obtained from the imaginary-time evolution of a nonlinear pseudo-Schrödinger equation in three dimensions, rather than from the cumbersome variational equations. With the underlying hydrodynamical approach, gradient corrections to the Thomas-Fermi approximation are conveniently included and are shown to be vital for reliable density profiles. We provide critical repulsion strengths that mark the onset of phase transitions in a harmonic trap. We present transitions from identical density profiles of the two fermion species towards isotropic and anisotropic separations for various confinements, including harmonic and double-well-type traps. Our proposed method is suited for arbitrary trap geometries and can be straightforwardly extended to study dynamics in the light of ongoing experiments on degenerate Fermi gases.

11 pages, 17 figures

References in corpus (5)

• Itinerant Ferromagnetism in a Fermi Gas of Ultracold Atoms
• Observation of Anomalous Spin Segregation in a Trapped Fermi Gas
• Kirzhnits gradient expansion for a D-dimensional Fermi gas
• Hydrodynamic excitations of trapped dipolar fermions
• Gradient corrections to the local density approximation for trapped superfluid Fermi gases

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• Mass-imbalance induced structures of binary atomic mixtures in box potentials
• Many-body molecule formation at a domain wall in a one-dimensional strongly interacting ultracold Fermi gas
• Fermionic quantum carpets: From canals and ridges to solitonlike structures
• Nonzero temperature dynamics of a repulsive two-component Fermi gas
• Atomic boson-fermion mixtures in 1D box potentials: Few-body and mean-field many-body analyses
• Collective oscillations of a two-component Fermi gas on the repulsive branch
• Repulsive dynamics of strongly attractive one-dimensional quantum gases
• Two-component repulsive atomic Fermi gases in a thin spherical shell
• Dynamics of large samples of repulsive Fermi gases at nonzero temperatures
• Phase Transitions of Repulsive Two-Component Fermi Gases in Two Dimensions