Two-component repulsive atomic Fermi gases in a thin spherical shell
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866929617781129216 |
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| author | He, Yan Chien, Chih-Chun |
| author_facet | He, Yan Chien, Chih-Chun |
| contents | 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 atoms on the sphere are 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_15108 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Two-component repulsive atomic Fermi gases in a thin spherical shell He, Yan Chien, Chih-Chun Quantum Gases Quantum Physics 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 atoms on the sphere are 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. |
| title | Two-component repulsive atomic Fermi gases in a thin spherical shell |
| topic | Quantum Gases Quantum Physics |
| url | https://arxiv.org/abs/2409.15108 |