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ZhETF, Vol. 144, No. 5, p. 921 (November 2013)
(English translation - JETP, Vol. 117, No. 5, p. 800, November 2013 available online at )

Li F., Zhang D., Rong S., Xu Y.

Received: April 28, 2013

DOI: 10.7868/S0044451013110047

DJVU (419.5K) PDF (690.5K)

The spatial structure of a collisionally inhomogeneous Bose-Einstein condensate (BEC) in an optical lattice is studied. A spatially dependent current with an explicit analytic expression is found in the case with a spatially dependent BEC phase. The oscillating amplitude of the current can be adjusted by a Feshbach resonance, and the intensity of the current depends heavily on the initial and boundary conditions. Increasing the oscillating amplitude of the current can force the system to pass from a single-periodic spatial structure into a very complex state. But in the case with a constant phase, the spatially dependent current disappears and the Melnikov chaotic criterion is obtained via a perturbative analysis in the presence of a weak optical lattice potential. Numerical simulations show that a strong optical lattice potential can lead BEC atoms to a state with a chaotic spatial distribution via a quasiperiodic route.

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