Quasi-periodically driven quantum systems
Quantum Physics
2016-11-23 v1
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.
Cite
@article{arxiv.1603.03923,
title = {Quasi-periodically driven quantum systems},
author = {Albert Verdeny and Joaquim Puig and Florian Mintert},
journal= {arXiv preprint arXiv:1603.03923},
year = {2016}
}