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Occupation Statistics of a Bose-Einstein Condensate for a Driven Landau-Zener Crossing
We consider an atomic Bose-Einstein condensate loaded in a biased double-well trap with tunneling rate $K$ and interatomic interaction $U$. The Bose-Einstein condensate is prepared such that all $N$ atoms are in the left well. We drive the system by sweeping the potential difference $\mathcal{E}$ between the two wells. Depending …