Localization in momentum space of ultracold atoms in incommensurate lattices

Details Localization in momentum space of ultracold atoms in incommensurate lattices Localization in momentum space of ultracold atoms in incommensurate lattices

2010-10-15

arxiv.org/abs/1010.3093v1

Physics

Condensed Matter

Quantum Gases

Scientific paper

We characterize the disorder induced localization in momentum space for ultracold atoms in one-dimensional incommensurate lattices, according to the dual Aubry-Andr\'e model. For low disorder the system is localized in momentum space, and the momentum distribution exhibits time-periodic oscillations of the relative intensity of its components. The behavior of these oscillations is explained by means of a simple three-mode approximation. We predict their frequency and visibility by using typical parameters of feasible experiments. Above the transition the system diffuses in momentum space, and the oscillations vanish when averaged over different realizations, offering a clear signature of the transition.

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