Dephasing and breakdown of adiabaticity in the splitting of Bose Einstein Condensates

Details Dephasing and breakdown of adiabaticity in the splitting of Bose Einstein Condensates Dephasing and breakdown of adiabaticity in the splitting of Bose Einstein Condensates

2004-11-23

arxiv.org/abs/cond-mat/0411567v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1088/1367-2630/7/1/085

We study the quantum dynamics of a BEC condensate trapped in a double-well potential with a rising interwell barrier. We analytically find the characteristic time scales of the splitting process and compare our results with numerical analyses available in the literature. In first stage of the dynamics, the condensate follows adiabatically the rising of the interwell barrier. At a critical time $t_{ad}$, small amplitude fluctuations around the average trajectory increase exponentially fast, signaling the break-down of adiabaticity. We have found a highly non-trivial dependence of the dephasing time $t_D$, defined by $\sigma_{\phi}(t_D)=1$, where $\sigma_{\phi}(t)$ is the dynamical quantum phase spreading, on $t_{ad}$ and on the ramping time of the interwell barrier.

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