
VOLUME 80  ISSUE 1 
PAGE 60

Energy absorption in timedependent unitary random matrix ensembles: dynamic vs. Anderson localization 
M. A. Skvortsov^{*}, D. M. Basko^{+}, V. E. Kravtsov^{*+}
^{*}L.D.Landau Institute for Theoretical Physics RAS, 117940 Moscow, Russia ^{+}The Abdus Salam International Centre for Theoretical Physics, 34100 Trieste, Italy

PACS: 03.65.w, 72.10.Bg, 73.23.b

Abstract
We consider energy absorption in an externally driven complex system
of noninteracting fermions with the chaotic underlying dynamics
described by the unitary random matrices. In the absence of
quantum interference the energy absorption rate W(t) can be calculated
with the help of the linearresponse Kubo formula.
We calculate the leading twoloop interference correction
to the semiclassical absorption rate for an arbitrary time
dependence of the external perturbation.
Based on the results for periodic perturbations, we make
a conjecture that the dynamics of the periodicallydriven random
matrices can be mapped onto the onedimensional Anderson model.
We predict that in the regime of strong dynamic localization
rather than decays exponentially.


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