Physics – Condensed Matter – Quantum Gases
Scientific paper
2010-07-19
Phys. Rev. A 82, 023610 (2010)
Physics
Condensed Matter
Quantum Gases
10 pages, submitted to Phys. Rev. A, minor corrections
Scientific paper
10.1103/PhysRevA.82.023610
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.
Main Jörg
Rau Stefan
Wunner Günter
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