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Analytic approaches to periodically driven closed quantum systems: Methods and applications

Sen, A and Sen, D and Sengupta, K (2021) Analytic approaches to periodically driven closed quantum systems: Methods and applications. In: Journal of Physics Condensed Matter, 33 (44).

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Official URL: https://doi.org/10.1088/1361-648X/ac1b61


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. © 2021 IOP Publishing Ltd.

Item Type: Journal Article
Publication: Journal of Physics Condensed Matter
Publisher: IOP Publishing Ltd
Additional Information: The copyright for this article belongs to Authors
Keywords: Computation theory; Hamiltonians; Quantum optics, Analytic approach; Closed quantum system; Floquet Hamiltonian; Impulse approximation; Perturbation theory; Perturbative techniques; Quantum many-body systems; Rotating wave approximations, Perturbation techniques
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 03 Dec 2021 07:06
Last Modified: 03 Dec 2021 07:06
URI: http://eprints.iisc.ac.in/id/eprint/70130

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