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Symmetry breaking induced by random fluctuations for Bose-Einstein condensates in a double-well trap

Symmetry breaking induced by random fluctuations for Bose-Einstein condensates in a double-well trap

This paper is devoted to the study of the dynamics of two weakly coupled Bose-Einstein condensates confined in a double-well trap and perturbed by random external forces. The energy diffusion due to random forcing is quantitatively analyzed. The energy distribution is shown to evolve to a stationary distribution which depends …