Dynamic localization in quantum dots: analytical theory

• Published in: Physical review letters Vol. 90; no. 9; p. 096801
• Main Authors: Basko, D M, Skvortsov, M A, Kravtsov, V E
• Format: Journal Article
• Language: English
• Published: United States 07.03.2003
• ISSN: 0031-9007
• DOI: 10.1103/PhysRevLett.90.096801

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.