dorsal/arxiv
View SchemaInteracting Fermi gas in a Harmonic Trap
| Authors | G. M. Bruun, K. Burnett |
|---|---|
| Categories | |
| ArXiv ID | physics/9807027 |
| URL | https://arxiv.org/abs/physics/9807027 |
| DOI | 10.1103/PhysRevA.58.2427 |
| Journal | Phys. Rev. A, Vol. 58, 1998 |
Abstract
In view of ongoing experiments to trap ultracold spin-polarized $^6$Li, we study various properties of an interacting Fermi gas in a harmonic trap taking the discrete nature of the unperturbed harmonic trap levels into account exactly. As $^6$Li has a rather large and negative scattering length, we focus on the effects of the attractive atom-atom interaction on several thermodynamic properties and on the momentum and density distributions. The dependence of the chemical potential, the specific heat and the density and momentum distributions on the number of particles in the trap is obtained. We also calculate the energy of the gas. Comparison is made with results of a semiclassical calculation and with the properties of a non-interacting gas. We find that the effect of the interactions is rather large for realistic trap frequencies. Hence, it is important to include these interactions in any quantitative predictions relevant for experiments.
{
"annotation_id": "f5f0ceb6-18f6-4145-8f80-051cf2436898",
"date_created": "2026-03-02T18:01:21.515000Z",
"date_modified": "2026-03-02T18:01:21.515000Z",
"file_hash": "663c38316c398f2ddf983f88b7b5d2c3045c18193cecc601a557e0db6cb664c0",
"private": false,
"record": {
"abstract": "In view of ongoing experiments to trap ultracold spin-polarized $^6$Li, we\nstudy various properties of an interacting Fermi gas in a harmonic trap taking\nthe discrete nature of the unperturbed harmonic trap levels into account\nexactly. As $^6$Li has a rather large and negative scattering length, we focus\non the effects of the attractive atom-atom interaction on several thermodynamic\nproperties and on the momentum and density distributions.\n The dependence of the chemical potential, the specific heat and the density\nand momentum distributions on the number of particles in the trap is obtained.\nWe also calculate the energy of the gas. Comparison is made with results of a\nsemiclassical calculation and with the properties of a non-interacting gas. We\nfind that the effect of the interactions is rather large for realistic trap\nfrequencies. Hence, it is important to include these interactions in any\nquantitative predictions relevant for experiments.",
"arxiv_id": "physics/9807027",
"authors": [
"G. M. Bruun",
"K. Burnett"
],
"categories": [
"physics.atom-ph",
"cond-mat.supr-con"
],
"doi": "10.1103/PhysRevA.58.2427",
"journal_ref": "Phys. Rev. A, Vol. 58, 1998",
"title": "Interacting Fermi gas in a Harmonic Trap",
"url": "https://arxiv.org/abs/physics/9807027"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "bebe8572-9f09-43c0-a00d-29e5536fb960",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}