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This study experimentally confirms period doubling and higher subharmonic responses in a driven single spin-1/2 system using nitrogen-vacancy centers in diamond. By leveraging long coherence times, the research provides critical insights into non-linear quantum dynamics under strong periodic driving fields near ideal manifolds. Such fundamental understanding of interference effects is essential for advancing control protocols in future quantum information processors and sensors.
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Observation of period doubling and higher multiplicities in a driven single-spin system

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arXiv:2507.18387v2 Announce Type: replace Abstract: One of the prime features of quantum systems strongly driven by external time-periodic fields is the subharmonic response with integer multiples of the drive period $k\, T_d$ due to long-lived interference. Here, we demonstrate experimentally, based on a careful theoretical analysis, period doubling and higher multiplicities ($k=2,\ldots 5$) for one of the most fundamental systems, namely, an individual spin $1/2$. Nitrogen-vacancy centers in diamond support sufficiently stable coherent dynamics owing to long coherence times and allow for optical addressability of their spin states. This allows to monitor coherent period $k$-tupling oscillations over a broad set of driving parameters in the vicinity of the ideal manifolds. In this domain, superimposed low-frequency modulations serve as unique proxy for the approach toward period $k$-tupling.

Abstract:One of the prime features of quantum systems strongly driven by external time-periodic fields is the subharmonic response with integer multiples of the drive period $k\, T_d$ due to long-lived interference. Here, we demonstrate experimentally, based on a careful theoretical analysis, period doubling and higher multiplicities ($k=2,\ldots 5$) for one of the most fundamental systems, namely, an individual spin $1/2$. Nitrogen-vacancy centers in diamond support sufficiently stable coherent dynamics owing to long coherence times and allow for optical addressability of their spin states. This allows to monitor coherent period $k$-tupling oscillations over a broad set of driving parameters in the vicinity of the ideal manifolds. In this domain, superimposed low-frequency modulations serve as unique proxy for the approach toward period $k$-tupling.

Quantum Physics (quant-ph); Mesoscale and Nanoscale Physics (cond-mat.mes-hall)

arXiv:2507.18387 [quant-ph]

(or arXiv:2507.18387v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2507.18387 Focus to learn more arXiv-issued DOI via DataCite

Phys. Rev. Research 8, L032011 (2026)

https://doi.org/10.1103/wj1t-vk39 Focus to learn more DOI(s) linking to related resources

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