High-order Harmonic Generation and Dynamic Localization in a driven two-level system, a non-perturbative solution using the Floquet-Green formalism

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.

References in corpus (4)

• Driven quantum transport on the nanoscale
• Photon-assisted transport in semiconductor nanostructures
• Perturbative results on localization for a driven two-level system
• Phase dependence of localization in the driven two-level model

Cited by in corpus (10)

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• Emergent symmetries in prethermal phases of periodically driven quantum systems
• Floquet States
• Transition between anomalous and Anderson localization in systems with non-diagonal disorder driven by time-periodic fields
• Phase structure of below-threshold harmonics in aligned molecules: a few-level model system
• Emergence of prethermal time quasicrystalline order in a quasiperiodically driven non-interacting spin chain