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

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

2009-01-19

arxiv.org/abs/0901.2807v2

Phys. Rev. Lett. 102, 230401 (2009)

Physics

Condensed Matter

Other Condensed Matter

4 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.102.230401

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 $\epsilon$ between the two wells. Depending on the interaction $u=NU/K$, and the sweep rate $\dot{\epsilon}$, 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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