Breathing behavior of coupled Bose-Einstein condensates: from multi-soliton interactions to homoclinic tangles

Keith Promislow

Published Jan 1, 2008• 0 citations

Abstract

We consider the interaction of Bose-Einstein condensates in a nonlinear lattice formed from the local minima of an externally imposed periodic potential. Within a one-dimensional geometry, we develop a perturbation expansion for the motion of a condensate within the confines of the local minima of its potential well, coupled to the near-neighbor interaction with the adjacent condensates. We show that the resultant system of lattice differential equations possesses spatially localized breathing solutions.

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