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Discrete Solitons and Breathers with Dilute Bose-Einstein Condensates

A. Trombettoni·A. Smerzi
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Abstract

We study the dynamical phase diagram of a dilute Bose-Einstein condensate (BEC) trapped in a periodic potential. The dynamics is governed by a discrete non-linear Schrödinger equation: intrinsically localized excitations, including discrete solitons and breathers, can be created even if the BEC's interatomic potential is repulsive. Furthermore, we analyze the Anderson-Kasevich experiment [Science 282, 1686 (1998)], pointing out that mean field effects lead to a coherent destruction of the interwell Bloch oscillations.

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A. Trombettoni, A. Smerzi. 2001-03-17. Discrete Solitons and Breathers with Dilute Bose-Einstein Condensates. https://doi.org/10.1103/physrevlett.86.2353

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