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- W2031201867 abstract "We present an exact expression for the evolution of the wave function of N interacting atoms in an arbitrarily time-dependent, d-dimensional parabolic trap potential ensuremath{omega}(t). The interaction potential between atoms is taken to be of the form ensuremath{xi}/${mathit{r}}^{2}$ with ensuremath{xi}>0. For a constant trap potential ensuremath{omega}(t)=${mathrm{ensuremath{omega}}}_{0}$, we find an exact, infinite set of relative mode excitations. These excitations are relevant to the linear response of the system; they are universal in that their frequencies are independent of the initial state of the system (e.g., Bose-Einstein condensate), the strength ensuremath{xi} of the atom-atom interaction, the dimensionality d of the trap, and the number of atoms N. The time evolution of the system for general ensuremath{omega}(t) derives entirely from the solution to the corresponding classical one-dimensional single-particle problem. An analytic expression for the frequency response of the N-atom cluster is given in terms of ensuremath{omega}(t). We consider the important example of a sinusoidally varying trap perturbation. Our treatment, being exact, spans the ``linear'' and ``nonlinear'' regimes. Certain features of the response spectrum are found to be insensitive to interaction strength and atom number. textcopyright{} 1996 The American Physical Society." @default.
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- W2031201867 date "1996-11-01" @default.
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- W2031201867 title "Analytic results for the linear and nonlinear response of atoms in a trap with a model interaction" @default.
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- W2031201867 doi "https://doi.org/10.1103/physreva.54.4309" @default.
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