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Journal Article

Floquet perturbation theory: formalism and application to low-frequency limit


Seradjeh,  B.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Rodriguez-Vega, M., Lentz, M., & Seradjeh, B. (2018). Floquet perturbation theory: formalism and application to low-frequency limit. New Journal of Physics, 20: 093022. doi:10.1088/1367-2630/aade37.

Cite as: https://hdl.handle.net/21.11116/0000-0002-681C-B
We develop a low-frequency perturbation theory in the extended Floquet Hilbert space of a periodically driven quantum systems, which puts the high- and low-frequency approximations to the Floquet theory on the same footing. It captures adiabatic perturbation theories recently discussed in the literature as well as diabatic deviation due to Floquet resonances. For illustration, we apply our Floquet perturbation theory to a driven two-level system as in the Schwinger-Rabi and the Landau-Zener-Stuckelberg-Majorana models. Were produce some known expressions for transition probabilities in a simple and systematic way and clarify and extend their regime of applicability. We then apply the theory to a periodically-driven system of fermions on the lattice and obtain the spectral properties and the low-frequency dynamics of the system.