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Journal of Northwest Normal University

Stability of two-component degenerate Fermi gases with attractive interactions in an anharmonic trap

Yuting Ma

Published Jan 1, 2010• 0 citations
OpenAlex

Abstract

The stability of two-component degenerate Fermi gases with attractive interactions in a harminic trap with a quartic distortion in the mean-field is studied.The influences of anharmonicity and p-wave interaction on the stability of Fermi gas are discussed,respectively.It is shown that the anharmonicity of harminic trap and the p-wave interaction have important effect on the stability of Fermi gas,and have an effect on the particle numberal density distributing.Using variational approaches,the stability condition of the system in a harminic trap with a quartic distortion under the effective s-and p-wave interactions are derived.

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Journal of Northwest Normal University•Jan 1, 2010•0 citations

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The stability of two-component degenerate Fermi gases with attractive interactions in a harminic trap with a quartic distortion in the mean-field is studied.The influences of anharmonicity and p-wave interaction on the stability of Fermi gas are discussed,respectively.It is shown that the anharmonicity of harminic trap and the p-wave interaction have important effect on the stability of Fermi gas,and have an effect on the particle numberal density distributing.Using variational approaches,the stability condition of the system in a harminic trap with a quartic distortion under the effective s-and p-wave interactions are derived.
The collective excitations of two-component degenerate Fermi gases in a harminic trap with a quartic distortion are investigated.Using variational approaches,the coupled equations of motions for the center-of-mass coordinate and width of two-component degenerate Fermi gases are derived.Then two low-energy excitation modes are obtained analytically.The freqency shift,collapse and revival of the collective excitations of two-component degenerate Fermi gases induced by the anharmonic distortion under different values of the effective s-and p-wave interactions are discussed,respectively.
The structure and stability of dilute degenerate Fermi gases trapped in an external potential is discussed with special emphasis on the influence of s- and p-wave interactions. In a first step an effective contact interaction for all partial waves is derived, which reproduces the energy spectrum of the full potential within a mean-field model space. Using the s- and p-wave part the energy density of the multicomponent Fermi gas is calculated in Thomas-Fermi approximation. On this basis the stability of the one- and two-component Fermi gas against mean-field induced collapse is investigated. Explicit stability conditions in terms of density and total particle number are given. For the single-component system attractive p-wave interactions limit the density of the gas. In the two-component case a subtle competition of s- and p-wave interactions occurs and gives rise to a rich variety of phenomena. A repulsive p-wave part, for example, can stabilize a two-component system that would otherwise collapse due to an attractive s-wave interaction. It is concluded that the p-wave interaction may have important influence on the structure of degenerate Fermi gases and should not be discarded from the outset.
The influence of s- and p-wave interactions on trapped degenerate one- and two-component Fermi gases is investigated. The energy functional of a multicomponent Fermi gas is derived within the Thomas-Fermi approximation, including the s- and p-wave terms of an effective contact interaction. On this basis the stability of the dilute gas against mean-field induced collapse due to attractive interactions is investigated and explicit stability conditions in terms of Fermi momentum and s- and p-wave scattering lengths are derived. Furthermore, the spatial separation in a two-component Fermi gas is discussed, explicit conditions for the onset of component demixing are given, and the density distributions in the separated phase are calculated. The findings are summarized in a zero-temperature phase diagram for the degenerate two-component Fermi gas. It is shown that the p-wave interaction has a significant influence on the phase diagram of the degenerate Fermi gas and causes new phenomena such as absolute stabilization against collapse and component separation. It may therefore be useful in the context of the envisioned BCS transition in trapped atomic Fermi gases.
Abstract. The inuence of s- and p-wave interactions on trapped degenerate one and two-component Fermi gases is investigated. The energy functional of a multicomponent Fermi gas is derived within the Thomas-Fermi approximation including the s- and p-wave terms of an eective contact interaction. On this basis the stability of the dilute gas against mean-eld induced collapse due to attractive interactions is investigated and explicit stability conditions in terms of Fermi momentum and s- and p-wave scattering lengths are derived. Furthermore the spatial separation in a two-component Fermi gas is discussed, explicit conditions for the onset of component demixing are given, and the density distributions in the separated phase are calculated. The ndings are summarized in a zero-temperature phase diagram for the degenerate two-component Fermi gas. It is shown that the p-wave interaction has signicant inuence on the phase diagram of the degenerate Fermi gas and causes new phenomena like absolute stabilization against collapse and component separation. It may therefore be useful in the context of the envisioned BCS transition in trapped atomic Fermi gases. PACS numbers: 03.75.Fi, 34.20.Cf, 32.80.Pj 1.
The stability of trapped dilute Fermi gases against collapse towards large densities is studied. A Hermitian effective contact interaction for all partial waves is derived, which is particularly suited for a mean-field description of these systems. Including the s- and p-wave parts, explicit stability conditions and critical particle numbers are given as a function of the scattering lengths. The p-wave contribution determines the stability of a single-component gas and can substantially modify the stability of a two-component gas. Moreover it may give rise to a novel p-wave stabilized high-density phase.