TY - JOUR

T1 - Dynamic Localization in Quantum Dots

T2 - Analytical Theory

AU - Basko, D. M.

AU - Skvortsov, M. A.

AU - Kravtsov, V. E.

PY - 2003/3/7

Y1 - 2003/3/7

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84871209773&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.90.096801

DO - 10.1103/PhysRevLett.90.096801

M3 - Article

AN - SCOPUS:0037424207

VL - 90

SP - 096801/1-096801/4

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 9

ER -