Quasi-Periodically Driven Quantum Systems

2016/03/12 by Albert Verdeny, Joaquim Puig, Florian Mintert · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Floquet theory #Open quantum system #Quantum #Quantum chaos and dynamical systems #Quantum many-body systems #Quantum network #Quantum process #Quantum system #Quantum technology #quant-ph

paper · pdf · doi:10.1515/zna-2016-0079

arxiv created 2016/03/12 · openalex created_date 2016/06/24 · openalex publication_date 2016/07/21 · arxiv updated 2016/11/23 · openalex updated_date 2026/08/05

Abstract

Abstract Floquet theory provides rigorous foundations for the theory of periodically driven quantum systems. In the case of non-periodic driving, however, the situation is not so well understood. Here, we provide a critical review of the theoretical framework developed for quasi-periodically driven quantum systems. Although the theoretical footing is still under development, we argue that quasi-periodically driven quantum systems can be treated with generalisations of Floquet theory in suitable parameter regimes. Moreover, we provide a generalisation of the Floquet-Magnus expansion and argue that quasi-periodic driving offers a promising route for quantum simulations.

Citations

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Cited by

• Topological classification of quasiperiodically driven quantum systems