Universal Energy Functionals for Trapped Fermi Gases in Low Dimensions
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866911772480372736 |
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| author | Zhang, Jiansen Tan, Shina |
| author_facet | Zhang, Jiansen Tan, Shina |
| contents | We study the system of trapped two-component Fermi gases with zero-range interaction in two dimensions (2D) or one dimension (1D). We calculate the one-particle density matrices of these systems at small displacements, from which we show that the $N$-body energies are linear functionals of the occupation probabilities of single-particle energy eigenstates. A universal energy functional was first derived in 2011 for trapped zero-range interacting two-component Fermi gases in three dimensions (3D). We also calculate the asymptotic behaviors of the occupation probabilities of single-particle energy eigenstates at high energies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_00325 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Universal Energy Functionals for Trapped Fermi Gases in Low Dimensions Zhang, Jiansen Tan, Shina Quantum Gases We study the system of trapped two-component Fermi gases with zero-range interaction in two dimensions (2D) or one dimension (1D). We calculate the one-particle density matrices of these systems at small displacements, from which we show that the $N$-body energies are linear functionals of the occupation probabilities of single-particle energy eigenstates. A universal energy functional was first derived in 2011 for trapped zero-range interacting two-component Fermi gases in three dimensions (3D). We also calculate the asymptotic behaviors of the occupation probabilities of single-particle energy eigenstates at high energies. |
| title | Universal Energy Functionals for Trapped Fermi Gases in Low Dimensions |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2312.00325 |