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Approximate mean-field equations of motion for quasi-two-dimensional Bose-Einstein-condensate systems

Approximate mean-field equations of motion for quasi-two-dimensional Bose-Einstein-condensate systems

We present a method for approximating the solution of the three-dimensional, time-dependent Gross-Pitaevskii equation (GPE) for Bose-Einstein-condensate systems where the confinement in one dimension is much tighter than in the other two. This method employs a hybrid Lagrangian variational technique whose trial wave function is the product of a completely …