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Chinese Physics Letters

Josephson Dynamics of a Bose–Einstein Condensate Trapped in a Double-Well Potential

Hongwei Yang, Zuo Wei

Published Feb 19, 2007• 4 citations
Publisher

Abstract

The Josephson equations for a Bose–Einstein Condensate gas trapped in a double-well potential are derived with the two-mode approximation by the Gross–Pitaevskii equation. The dynamical characteristics of the equations are obtained by the numerical phase diagrams. The nonlinear self-trapping effect appeared in the phase diagrams are emphatically discussed, and the condition E c N >4 E J is presented.

DOI
10.1088/0256-307x/24/3/010

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The dynamics of Bose-Einstein condensates in a double-well magnetic trap is studied using the Gross-Pitaevskii equation (GPE) and a two-mode approximation. The self-trapping instability occurs when a sufficiently high potential barrier is formed in the centre of the trap. Close to the instability threshold, the GPE is reduced to a simple amplitude equation. In the case where weakly dissipative effects are taken into account, the condensate exhibits aperiodic oscillations which can be described by the Lorenz thermal convection model.
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