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Self-trapping mechanisms in the dynamics of three coupled Bose-Einstein condensates

Roberto Franzosi, Vittorio Penna

cond-mat.mes-hallarXiv:cond-mat/0103460

Abstract

We formulate the dynamics of three coupled Bose-Einstein condensates within a semiclassical scenario based on the standard boson coherent states. We compare such a picture with that of Ref. 1 and show how our approach entails a simple formulation of the dimeric regime therein studied. This allows to recognize the parameters that govern the bifurcation mechanism causing self-trapping, and paves the way to the construction of analytic solutions. We present the results of a numerical simulation showing how the three-well dynamics has, in general, a cahotic behavior.

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