Energy absorption in time-dependent unitary random matrix ensembles: dynamic vs Anderson localization
M. A. Skvortsov, D. M. Basko, V. E. Kravtsov
Abstract
We consider energy absorption in an externally driven complex system of noninteracting fermions with the chaotic underlying dynamics described by the unitary random matrices. In the absence of quantum interference the energy absorption rate W(t) can be calculated with the help of the linear-response Kubo formula. We calculate the leading two-loop interference correction to the semiclassical absorption rate for an arbitrary time dependence of the external perturbation. Based on the results for periodic perturbations, we make a conjecture that the dynamics of the periodically-driven random matrices can be mapped onto the one-dimensional Anderson model. We predict that in the regime of strong dynamic localization W(t) ln(t)/t2 rather than decays exponentially.
Create a lesson
Related papers
Magnon Klein paradox
D. Wang
Transport kinetics in excitonic Mott insulator
W. J. Brunner, Zhiwen Zhou, Luc M. Nguyen et al.
Direct Observation of Chirality-Dependent Berry Curvature Dipole via Cross-Axial Nonlinear Hall Effect in Trigonal Te
Jaehyun Lee, Junhee Shin, Daryll J. C. Dalayoan et al.
Establishing the role of thickness in LaOBr; an alternative gate dielectric for vdW heterostructures
Isaac Antoine Lagaud, Justin Boddison-Chouinard, Antoine Labbé et al.
Electric-dipole-induced nuclear electric resonance in silicon
Jiyun Su, Shihang Zhang, Peihao Huang
Parametric Glassiness in Graphene-based Electronic Lévy Glass
Caue N. da Silva, Diego B. Fonseca, Adauto J. F. de Souza et al.