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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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. © 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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