Work

Effective Hamiltonians for almost-periodically driven quantum systems*

Year: 2021

Type: article

Abstract: We present an effective Hamiltonian theory available for some quasi-periodically driven quantum systems which does not need the knowledge of the Fourier frequencies of the control signal. It could also be available for some chaotically driven quantum systems. It is based on the Koopman approach which generalizes the Floquet approach used with periodically driven systems. We show the properties of the quasi-energy states (eigenvectors of the effective Hamiltonian) as quasi-recurrent states of the quantum system.

Source: Journal of Physics A Mathematical and Theoretical

DOI: 10.1088/1751-8121/ac22e6

Author: David Viennot

Institutions: Centre National de la Recherche Scientifique, Université Bourgogne Franche-Comté, Institut UTINAM, Observatoire des Sciences de l’Univers Terre Homme Environnement Temps Astronomie

Language: English

Topic: Quantum chaos and dynamical systems

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: Agence Nationale de la Recherche

Award: ISITE « BFC