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From Anderson to anomalous localization in cold atomic gases with effective spin-orbit coupling | | M. J. Edmonds
; J. Otterbach
; R. G. Unanyan
; M. Fleischhauer
; M. Titov
; P. Ohberg
; | | Date: |
29 Jun 2011 | | Abstract: | 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. | | Source: | arXiv, 1106.5925 | | Services: | Forum | Review | PDF | Favorites | |
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