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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2311.05963 |
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| _version_ | 1866917656145166336 |
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| author | Grochowski, Piotr T. Trappe, Martin-Isbjörn Karpiuk, Tomasz Rzążewski, Kazimierz |
| author_facet | Grochowski, Piotr T. Trappe, Martin-Isbjörn Karpiuk, Tomasz Rzążewski, Kazimierz |
| contents | We present a theoretical analysis of phase separations between two repulsively interacting components in an ultracold fermionic gas, occurring at the dimensional crossover in a harmonic trap with varying aspect ratios. A tailored kinetic energy functional is derived and combined with a density-potential functional approach to develop a framework that is benchmarked with the orbital-based method. We investigate the changes in the density profile of the phase-separated gas under different interaction strengths and geometries. The analysis reveals the existence of small, partially polarized domains in certain parameter regimes, which is similar to the purely two-dimensional limit. However, the density profile is further enriched by a shell structure found in anisotropic traps. We also track the transitions that can be driven by either a change in interaction strength or trap geometry. The developed framework is noted to have applications for other systems with repulsive interactions that combine continuous and discrete degrees of freedom. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_05963 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Phase separation of a repulsive two-component Fermi gas at the two- to three-dimensional crossover Grochowski, Piotr T. Trappe, Martin-Isbjörn Karpiuk, Tomasz Rzążewski, Kazimierz Quantum Gases We present a theoretical analysis of phase separations between two repulsively interacting components in an ultracold fermionic gas, occurring at the dimensional crossover in a harmonic trap with varying aspect ratios. A tailored kinetic energy functional is derived and combined with a density-potential functional approach to develop a framework that is benchmarked with the orbital-based method. We investigate the changes in the density profile of the phase-separated gas under different interaction strengths and geometries. The analysis reveals the existence of small, partially polarized domains in certain parameter regimes, which is similar to the purely two-dimensional limit. However, the density profile is further enriched by a shell structure found in anisotropic traps. We also track the transitions that can be driven by either a change in interaction strength or trap geometry. The developed framework is noted to have applications for other systems with repulsive interactions that combine continuous and discrete degrees of freedom. |
| title | Phase separation of a repulsive two-component Fermi gas at the two- to three-dimensional crossover |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2311.05963 |