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25 April 2024
 
  » pubmed » pmid12689247

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Dynamic localization in quantum dots: analytical theory
D M Basko ; M A Skvortsov ; V E Kravtsov ;
Date 7 Mar 2003
Journal Phys Rev Lett, 90 (9), 096801
AbstractWe 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.
Source PubMed, pmid12689247
Other source [GID 785879] cond-mat/0212032
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