Quasi-Periodically Driven Quantum Systems
2016 ◽
Vol 71
(10)
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pp. 897-907
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Keyword(s):
AbstractFloquet 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.
Keyword(s):
2019 ◽
Vol 52
(43)
◽
pp. 43LT01
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Keyword(s):
2019 ◽
Vol 377
(2157)
◽
pp. 20190150
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1997 ◽
Vol 20
(1)
◽
pp. 111-155
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