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Dynamics of twin-condensate configurations in an open chain of three Bose-Einstein condensates

P. Buonsante·R. Franzosi·V. Penna
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Abstract

The dynamics of a mean-field model of three coupled condensates is studied for initial states characterized by twin condensates. Condensates occupy an open three-well chain, where the central potential-well depth is an independent parameter. Despite its diversity from the closed-chain symmetric model, such model is shown to have an integrable regime involving a predictable evolution for twin-condensate initial states. After establishing the dependence of the phase-space topology on the model parameters, the latter are shown to allow the control of various macroscopic effects such as rapid population inversions, pulsed phase changes, self-trapping and long-duration periodic oscillations. Finally, based on quantizing the system in terms of suitable ``microscopic'' canonical variables, the stability conditions of the integrable regime are related to the su(1,1) structure of the Hamiltonian spectrum.

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P. Buonsante, R. Franzosi, V. Penna. 2004-01-10. Dynamics of twin-condensate configurations in an open chain of three Bose-Einstein condensates. https://arxiv.org/abs/cond-mat/0312604

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