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Paper detail

Variational methods with coupled Gaussian functions for Bose-Einstein condensates with long-range interactions. I. General concept

The variational method of coupled Gaussian functions is applied to Bose-Einstein condensates with long-range interactions. The time-dependence of the condensate is described by dynamical equations for the variational parameters. We present the method and analytically derive the dynamical equations from the time-dependent Gross-Pitaevskii equation. The stability of the solutions is investigated using methods of nonlinear dynamics. The concept presented in this paper will be applied to Bose-Einstein condensates with monopolar 1/r and dipolar 1/r^3 interaction in the subsequent paper [S. Rau et al., Phys. Rev. A, submitted], where we will present a wealth of new phenomena obtained by using the ansatz with coupled Gaussian functions.

preprint2010arXivOpen access
Stefan RauJörg MainGünter Wunner
nlin.CDcond-mat.quant-gasquant-ph
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Stefan RauJörg MainGünter Wunner

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