Effective Action and Field Equation for BEC from Weak to Strong Couplings

preprint2013arXivOpen access

Abstract

While free and weakly interacting nonrelativistic particles are described by a Gross-Pitaevskii equation, which is a nonlinear self-interacting Schrödinger equation, the phenomena in the strong- coupling limit are governed by an effective action that is extremized by a double-fractional generalization of this equation. Its particle orbits perform Lèvy walks rather than Gaussian random walks.

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