dorsal/arxiv
View SchemaRegime of Validity of the Pairing Hamiltonian in the Study of Fermi Gases
| Authors | S. Y. Chang, V. R. Pandharipande |
|---|---|
| Categories | |
| ArXiv ID | physics/0603093 |
| URL | https://arxiv.org/abs/physics/0603093 |
| DOI | 10.1103/PhysRevB.73.212502 |
| Journal | Phys. Rev. B, 73, 212502 (2006) |
Abstract
The ground state energy and pairing gap of the interacting Fermi gases calculated by the {\it ab initio} stochastic method are compared with those estimated from the Bardeen-Cooper-Schrieffer pairing Hamiltonian. We discuss the ingredients of this Hamiltonian in various regimes of interaction strength. In the weakly interacting ($1/ak_F <<0$) regime the BCS Hamiltonian should describe Landau quasi-particle energies and interactions, on the other hand in the strongly pairing regime, that is $1/ak_F \gtrsim 0$, it becomes part of the bare Hamiltonian. However, the bare BCS Hamiltonian is not adequate for describing atomic gases in the regime of weak to moderate interaction strength $-\infty < 1/ak_F <0$ such as $ak_F \sim -1$. PACS: 05.30.Fk, 03.75.Ss, 21.65.+f
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"abstract": "The ground state energy and pairing gap of the interacting Fermi gases\ncalculated by the {\\it ab initio} stochastic method are compared with those\nestimated from the Bardeen-Cooper-Schrieffer pairing Hamiltonian. We discuss\nthe ingredients of this Hamiltonian in various regimes of interaction strength.\nIn the weakly interacting ($1/ak_F \u003c\u003c0$) regime the BCS Hamiltonian should\ndescribe Landau quasi-particle energies and interactions, on the other hand in\nthe strongly pairing regime, that is $1/ak_F \\gtrsim 0$, it becomes part of the\nbare Hamiltonian. However, the bare BCS Hamiltonian is not adequate for\ndescribing atomic gases in the regime of weak to moderate interaction strength\n$-\\infty \u003c 1/ak_F \u003c0$ such as $ak_F \\sim -1$.\n PACS: 05.30.Fk, 03.75.Ss, 21.65.+f",
"arxiv_id": "physics/0603093",
"authors": [
"S. Y. Chang",
"V. R. Pandharipande"
],
"categories": [
"physics.atom-ph"
],
"doi": "10.1103/PhysRevB.73.212502",
"journal_ref": "Phys. Rev. B, 73, 212502 (2006)",
"title": "Regime of Validity of the Pairing Hamiltonian in the Study of Fermi Gases",
"url": "https://arxiv.org/abs/physics/0603093"
},
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