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arXiv · 1101.4467

Localization of a matter wave packet in a disordered potential

Marie Piraud·Pierre Lugan·Philippe Bouyer·Alain Aspect·Laurent Sanchez-Palencia
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Abstract

We theoretically study the Anderson localization of a matter wave packet in a one-dimensional disordered potential. We develop an analytical model which includes the initial phase-space density of the matter wave and the spectral broadening induced by the disorder. Our approach predicts a behavior of the localized density profile significantly more complex than a simple exponential decay. These results are confirmed by large-scale and long-time numerical calculations. They shed new light on recent experiments with ultracold atoms and may impact their analysis.

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Marie Piraud, Pierre Lugan, Philippe Bouyer, Alain Aspect, Laurent Sanchez-Palencia. 2011-03-06. Localization of a matter wave packet in a disordered potential. https://doi.org/10.1103/physreva.83.031603

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