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arXiv · 0901.2807

Occupation Statistics of a BEC for a Driven Landau-Zener Crossing

Katrina Smith-Mannschott·Maya Chuchem·Moritz Hiller·Tsampikos Kottos·Doron Cohen
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Abstract

We consider an atomic Bose-Einstein condensate (BEC) loaded in a biased double-well trap with tunneling rate $K$ and inter-atomic interaction $U$. The BEC is prepared such that all $N$ atoms are in the left well. We drive the system by sweeping the potential difference $ε$ between the two wells. Depending on the interaction $u=NU/K$, and the sweep rate $\dotε$, we distinguish three dynamical regimes: adiabatic, diabatic, and sudden, and consider the occupation statistics of the final state. The analysis goes beyond mean-field theory and is complemented by a semiclassical picture.

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Katrina Smith-Mannschott, Maya Chuchem, Moritz Hiller, Tsampikos Kottos, Doron Cohen. 2009-05-19. Occupation Statistics of a BEC for a Driven Landau-Zener Crossing. https://doi.org/10.1103/physrevlett.102.230401

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