title: Dynamic localization in quantum dots: analytical theory.
abstract: We analyze the response of a complex quantum-mechanical system (e.g., a quantum dot) to a time-dependent perturbation phi(t). 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 t(phi). If phi(t) is a sum of d harmonics with incommensurate frequencies, the correction behaves similarly to that for the conductivity deltasigma(d)(t(phi)) in the d-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 phi(-t+tau)=phi(t+tau) for some tau, which falls into the quasi-1D orthogonal universality class.
authors.affiliation: The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, 34100 Trieste, Italy. basko@ictp.trieste.it
authors.forename: D M
authors.initials: DM
authors.lastname: Basko
authors.forename: M A
authors.initials: MA
authors.lastname: Skvortsov
authors.forename: V E
authors.initials: VE
authors.lastname: Kravtsov