Energy absorption in time-dependent unitary random matrix ensembles: dynamic vs Anderson localization

Details Energy absorption in time-dependent unitary random matrix ensembles: dynamic vs Anderson localization Energy absorption in time-dependent unitary random matrix ensembles: dynamic vs Anderson localization

2004-04-27

arxiv.org/abs/cond-mat/0404632v1

Pis'ma v ZhETF 80, 60 (2004) [JETP Lett. 80, 54 (2004)]

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, 1 figure

Scientific paper

10.1134/1.1800215

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 linear-response Kubo formula. We calculate the leading two-loop 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 periodically-driven random matrices can be mapped onto the one-dimensional Anderson model. We predict that in the regime of strong dynamic localization W(t) ln(t)/t^2 rather than decays exponentially.

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