Two-component repulsive atomic Fermi gases in a thin spherical shell

• URL: http://arxiv.org/abs/2409.15108v1
• Date: Mon, 23 Sep 2024 15:17:33 GMT
• Title: Two-component repulsive atomic Fermi gases in a thin spherical shell
• Authors: Yan He, Chih-Chun Chien,
• Abstract summary: We present possible ground-state structures of two-component atomic Fermi gases with repulsive interactions in a thin spherical shell geometry. The system exhibits a miscible-immiscible transition from a homogeneous mixture to two-chunk phase separation as the interaction strength crosses a critical value.
• Score: 1.4206639868377509
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We present possible ground-state structures of two-component atomic Fermi gases with repulsive interactions in a thin spherical shell geometry by implementing a self-consistent Hartree-Fock approximation. The system exhibits a miscible-immiscible transition from a homogeneous mixture to two-chunk phase separation as the interaction strength crosses a critical value. While the critical value is relatively insensitive to population imbalance for equal-mass mixtures, it decreases with the mass ratio when mass-imbalance is present. The interaction may be tuned by the two-body scattering length or the radius of the sphere, thereby allowing the system to cross the transition by varying different parameters. When the sphere is rotating, three-chunk sandwich structures emerge in mass-imbalanced mixtures as a consequence of maximal angular momentum along the rotation axis. Some indications of geometric effects and possible experimental implications are also discussed.

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