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arXiv · 1603.03923

Quasi-periodically driven quantum systems

Albert Verdeny·Joaquim Puig·Florian Mintert
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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 generalizations of Floquet theory in suitable parameter regimes. Moreover, we provide a generalization of the Floquet-Magnus expansion and argue that quasi-periodic driving offers a promising route for quantum simulations.

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Albert Verdeny, Joaquim Puig, Florian Mintert. 2016-03-12. Quasi-periodically driven quantum systems. https://doi.org/10.1515/zna-2016-0079

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