Energy absorption in time-dependent unitary random matrix ensembles: Dynamic versus Anderson localization

M. A. Skvortsov, D. M. Basko, V. E. Kravtsov

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

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 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)/t2 rather than decaying exponentially.

Original languageEnglish
Pages (from-to)54-60
Number of pages7
JournalJETP Letters
Volume80
Issue number1
DOIs
Publication statusPublished - 2004
Externally publishedYes

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