High-order Harmonic Generation and Dynamic Localization in a driven two-level system, a non-perturbative solution using the Floquet-Green formalism
Mesoscale and Nanoscale Physics
2015-06-24 v1 Other Condensed Matter
Atomic Physics
Quantum Physics
Abstract
We apply the Floquet-Green operator formalism to the case of a harmonically-driven two-level system. We derive exact expressions for the quasi-energies and the components of the Floquet eigenstates with the use of continued fractions. We study the avoided crossings structure of the quasi-energies as a function of the strength of the driving field and give an interpretation in terms of resonant multi-photon processes. From the Floquet eigenstates we obtain the time-evolution operator. Using this operator we study Dynamic Localization and High-order Harmonic Generation in the non-perturbative regime.
Keywords
Cite
@article{arxiv.cond-mat/0501023,
title = {High-order Harmonic Generation and Dynamic Localization in a driven two-level system, a non-perturbative solution using the Floquet-Green formalism},
author = {D. F. Martinez},
journal= {arXiv preprint arXiv:cond-mat/0501023},
year = {2015}
}