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Journal of Northwest Normal University

Collective excitations of two-component degenerate Fermi gases in an anharmonic trap

Kezhi Zhang

Published Jan 1, 2010• 0 citations
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Abstract

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.

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Journal of Northwest Normal University•Jan 1, 2007•0 citations
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.
We investigate the collective excitations of a one-dimensional Bose-Einstein condensate with repulsive interaction between atoms in a quadratic plus quartic trap. Using variational approaches, the coupled equations of motions for the center-of-mass coordinate of the condensate and its width are derived. Then, two low-energy excitation modes are obtained analytically. The frequency shift induced by the anharmonic distortion, and the collapse and revival of the collective excitations originating from the nonlinear coupling between the two modes, are discussed.
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 a one-dimensional dipolar Bose—Einstein condensate trapped in an anharmonic potential are investigated theoretically. Using the variational approach, we obtain the coupled equations of motion for the center-of-mass coordinate of the condensate and its width. In particular, analytical expressions for the low-lying excitation modes are given. The results show that dipole-dipole interactions reduce the frequency shift induced by quartic distortion. The interplay between dipole-dipole interactions and anharmonic distortion for the collapse and revival of the collective excitations originating from the nonlinear coupling between the two modes are also discussed.
The collective excitations of a one-dimensional superfluid Fermi gas in an anharmonic trap are investigated. By using the variational approach, the frequency shifts about the dipole mode of the center-of-mass variations and the breathing mode of width variations are derived. It is found that the frequency shift in a unitary region is more significant. Under the excitations of different driving amplitudes, the two low-energy modes are coupled due to the contribution of the quartic item, and the quantum beating phenomenon comes into being. The frequency of beating increases with the driving amplitude. The dynamics of the width exhibits complex characteristics, especially, in the unitary region.
The collective excitations of low-dimensional Bose–Einstein condensates with two- and three-body interactions in anharmonic potentials are investigated. Using the standard variational approach, the governing equations of motions for the low-energy excitations are obtained by solving time-dependent Gross–Pitaevskii–Ginzburg equation, and the excitation spectrums are calculated in small amplitude limit. The frequency shift and nonlinear mode coupling induced by the anharmonic distortion (adding cubic, quartic, or quintic term to a harmonic trap) are studied.
It is investigated that the collective excitations of a one-dimensional Bose-Einstein condensate(BEC) with repulsive interaction between atoms in a quadratic plus quartic trap V(x)=12(x~2+λx~4).By using the variational approach,the analytical expressions are derived for two low-energy collective modes,and the effect of the anharmonicity of the potential trap on BEC collective excitations is studied.When(λ0) the frequencies will be blue shifted and when λ0 the frequencies will be red shifted.Meanwhile,the variations of the center-of-mass of the condensate and its width under different values of the driving amplitude are discussed.It is found that the two modes couple each other due to the anharmonicity,and the beating structure for the variation of the width occur.Finally,the response result corresponding to the frequency driving is given.