Work

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

Year: 2018

Type: article

Abstract: 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–Stückelberg–Majorana models. We reproduce 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.

Source: New Journal of Physics

DOI: 10.1088/1367-2630/aade37

Authors: M Rodriguez-Vega, M Lentz, B Seradjeh

Institutions: Max Planck Institute for the Physics of Complex Systems, Indiana University Bloomington, Indiana University, Syracuse University

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,610