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PreprintarXiv licencearXiv

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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Cite

BibTeXRIS
BibTeX
@misc{honsa2026peres,
  title = {{The use of Peres lattices in periodically driven systems}},
  author = {Lukáš Honsa and Jan Střeleček and Jakub Novotný and Pavel Cejnar},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2606.20009},
  eprint = {2606.20009},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.20009},
}
RIS
TY  - UNPB
TI  - The use of Peres lattices in periodically driven systems
AU  - Lukáš Honsa
AU  - Jan Střeleček
AU  - Jakub Novotný
AU  - Pavel Cejnar
PY  - 2026
DA  - 2026/11/02
PB  - arXiv
DO  - 10.48550/arxiv.2606.20009
UR  - https://arxiv.org/abs/2606.20009
AB  - 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.
ER  -