2015•Physical Review LettersOpen access

Experimental Observation of Two-Dimensional Anderson Localization with the Atomic Kicked Rotor

Isam Manai, Jean‐François Clément, Radu Chicireanu, Clément Hainaut, Jean Claude Garreau, Pascal Szriftgiser, Dominique Delande

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Abstract

Dimension 2 is expected to be the lower critical dimension for Anderson localization in a time-reversal-invariant disordered quantum system. Using an atomic quasiperiodic kicked rotor-equivalent to a two-dimensional Anderson-like model-we experimentally study Anderson localization in dimension 2 and we observe localized wave function dynamics. We also show that the localization length depends exponentially on the disorder strength and anisotropy and is in quantitative agreement with the predictions of the self-consistent theory for the 2D Anderson localization.

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Key concepts: Anderson localization, Quasiperiodic function, Physics, Anderson impurity model, Anisotropy, Weak localization, Condensed matter physics, Dimension (graph theory)