From Anderson to anomalous localization in cold atomic gases with effective spin-orbit coupling

Details From Anderson to anomalous localization in cold atomic gases with effective spin-orbit coupling From Anderson to anomalous localization in cold atomic gases with effective spin-orbit coupling

2011-06-29

arxiv.org/abs/1106.5925v2

Physics

Condensed Matter

Quantum Gases

4 pages and 4 figures

Scientific paper

We study the dynamics of a one-dimensional spin-orbit coupled Schrodinger particle with two internal components moving in a random potential. We show that this model can be implemented by the interaction of cold atoms with external lasers and additional Zeeman and Stark shifts. By direct numerical simulations a crossover from an exponential Anderson-type localization to an anomalous power-law behavior of the intensity correlation is found when the spin-orbit coupling becomes large. The power-law behavior is connected to a Dyson singularity in the density of states emerging at zero energy when the system approaches the quasi-relativistic limit of the random mass Dirac model. We discuss conditions under which the crossover is observable in an experiment with ultracold atoms and construct explicitly the zero-energy state, thus proving its existence under proper conditions.

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