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arXiv · 2606.20009

The use of Peres lattices in periodically driven systems

Lukáš Honsa·Jan Střeleček·Jakub Novotný·Pavel Cejnar
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Abstract

We demonstrate the strength of the method of Peres lattices in periodically driven quantum systems. The method, which has previously been used mostly in stationary systems, enables us to efficiently detect resonances in the driven system, to monitor the onset of chaos, and to recognize critical properties of the Floquet modes. It also allows quick comparisons of the spectra of Floquet modes for various driving Hamiltonians and transparent tests of the iterative approximation techniques based on effective stationary Hamiltonians.

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Lukáš Honsa, Jan Střeleček, Jakub Novotný, Pavel Cejnar. 2026-06-18. The use of Peres lattices in periodically driven systems. https://arxiv.org/abs/2606.20009

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