Dynamic Localization in Quantum Dots: Analytical Theory

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

Research output: Contribution to journalArticlepeer-review

49 Citations (Scopus)


We analyze the response of a complex quantum-mechanical system (e.g., a quantum dot) to a time-dependent perturbation [Formula presented]. Assuming the dot to be described by random-matrix theory for the Gaussian orthogonal ensemble, we find the quantum correction to the energy absorption rate as a function of the dephasing time [Formula presented]. If [Formula presented] is a sum of [Formula presented] harmonics with incommensurate frequencies, the correction behaves similarly to that for the conductivity [Formula presented] in the [Formula presented]-dimensional Anderson model of the orthogonal symmetry class. For a generic periodic perturbation, the leading quantum correction is absent as in the systems of the unitary symmetry class, unless [Formula presented] for some [Formula presented], which falls into the quasi-1D orthogonal universality class.

Original languageEnglish
Pages (from-to)096801/1-096801/4
Number of pages1
JournalPhysical Review Letters
Issue number9
Publication statusPublished - 7 Mar 2003
Externally publishedYes


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