,Phase Dissipation of an Open Two-Mode Bose-Einstein Condensate

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We study the dynamics of a two-mode BoseHubbard model with phase dissipation,based on the master equation.An analytical solution is presented with nonzero asymmetry and phase noise.The effects of asymmetry and phase noise play a contrasting role in the dynamics.The asymmetry makes the oscillation fast,while phase noise enlarges the period.The conditions for the cases of fast decay and oscillation are presented.As a possible application,the dynamical evolution of the population for cold atomic gases with synthetic gauge interaction,which can be understood as two-mode dynamics in momentum space,is predicted.
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