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PreprintCC BY-NC-SA 4.0arXiv

Floquet engineering of quantum relaxation

Abstract

Dynamical decoupling suppresses decoherence by averaging selected interactions between a quantum system and its environment. Here, we extend this notion through a general Floquet formalism that maps periodic control onto relaxation and dephasing channels. Environmental fluctuations are decomposed into Floquet components that sample the noise spectrum at distinct frequencies, with coupling strengths determined by control-induced Floquet coefficients. We experimentally investigate this approach using a single nitrogen-vacancy center in diamond under multi-pulse control. By tuning the drive and detuning, we reshape the coupling to environmental fluctuations and create isolated operating points where the dominant decoherence channel vanishes, strongly suppressing Floquet dephasing. The resulting coherence enhancement follows the predicted Floquet coupling coefficients and can be shifted by modifying the control sequence. These results establish Floquet driving as a general framework for engineering transverse and longitudinal relaxation through the design of quantum control protocols.

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BibTeX
@misc{xu2026floquet,
  title = {{Floquet engineering of quantum relaxation}},
  author = {Kang Xu and Dionisio Cendoya and Nazar Delegan and Daniela Pagliero and Lisandro Buljubasich and Carlos A. Meriles},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.01325},
  eprint = {2611.01325},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.01325},
  note = {CC BY-NC-SA 4.0},
}
RIS
TY  - UNPB
TI  - Floquet engineering of quantum relaxation
AU  - Kang Xu
AU  - Dionisio Cendoya
AU  - Nazar Delegan
AU  - Daniela Pagliero
AU  - Lisandro Buljubasich
AU  - Carlos A. Meriles
PY  - 2026
DA  - 2026/11/01
PB  - arXiv
DO  - 10.48550/arxiv.2611.01325
UR  - https://arxiv.org/abs/2611.01325
AB  - Dynamical decoupling suppresses decoherence by averaging selected interactions between a quantum system and its environment. Here, we extend this notion through a general Floquet formalism that maps periodic control onto relaxation and dephasing channels. Environmental fluctuations are decomposed into Floquet components that sample the noise spectrum at distinct frequencies, with coupling strengths determined by control-induced Floquet coefficients. We experimentally investigate this approach using a single nitrogen-vacancy center in diamond under multi-pulse control. By tuning the drive and detuning, we reshape the coupling to environmental fluctuations and create isolated operating points where the dominant decoherence channel vanishes, strongly suppressing Floquet dephasing. The resulting coherence enhancement follows the predicted Floquet coupling coefficients and can be shifted by modifying the control sequence. These results establish Floquet driving as a general framework for engineering transverse and longitudinal relaxation through the design of quantum control protocols.
ER  -