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

摘要

This paper is devoted to the study of the dynamics of two weakly-coupledBose-Einstein condensates confined in a double-well trap and perturbed byrandom external forces. Energy diffusion due to random forcing allows thesystem to visit symmetry-breaking states when the number of atoms exceeds athreshold value. The energy distribution evolves to a stationary distributionwhich depends on the initial state of the condensate only through the totalnumber of atoms. This loss of memory of the initial conditions allows a simpleand complete description of the stationary dynamics of the condensate whichrandomly visits symmetric and symmetry-breaking states.