Analytic approaches to periodically driven closed quantum systems: methods and applications. (24th August 2021)

• Record Type: Journal Article
• Authors: Sen, Arnab; Sen, Diptiman; Sengupta, K
• Is Part Of: Journal of physics. Volume 33:Number 44(2021)
• Publication Date: 2021-08-24
• Subjects: many-body theory -- non-equilibrium dynamics -- Floquet Hamiltonian -- periodically driven systems; Condensed matter -- Periodicals; Matière condensée -- Périodiques; Vaste stoffen; Vloeistoffen; Natuurkunde; Electronic journals; Computer network resources; 530.4105
• DOI: 10.1088/1361-648X/ac1b61
• Languages: English
• ISSNs: 0953-8984

Abstract

Abstract: We present a brief overview of some of the analytic perturbative techniques for the computation of the Floquet Hamiltonian for a periodically driven, or Floquet, quantum many-body system. The key technical points about each of the methods discussed are presented in a pedagogical manner. They are followed by a brief account of some chosen phenomena where these methods have provided useful insights. We provide an extensive discussion of the Floquet–Magnus (FM) expansion, the adiabatic-impulse approximation, and the Floquet perturbation theory. This is followed by a relatively short discourse on the rotating wave approximation, a FM resummation technique and the Hamiltonian flow method. We also provide a discussion of some open problems which may possibly be addressed using these methods.