Abstract
The dynamics of Bose-Einstein condensates in a double-wellmagnetic trap is studied using the Gross-Pitaevskii equation (GPE)and a two-mode approximation. The self-trapping instabilityoccurs when a sufficiently high potential barrier is formed inthe centre of the trap. Close to the instability threshold, theGPE is reduced to a simple amplitudeequation. In the case where weakly dissipative effects aretaken into account, the condensate exhibits aperiodicoscillations which can be described by the Lorenz thermal convection model.
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