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PreprintCC BY 4.0arXiv

Delay-engineered dynamical phases in a programmable non-Markovian spin oscillator

  • L. M. Ellis
  • L. M. Rushton
  • J. D. Zipfel
  • P. Bevington
  • M. Jayaseelan
  • W. Chalupczak
  • V. Guarrera
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Abstract

Non-Markovian dynamics offer a new route towards engineering non-equilibrium matter, where memory and feedback act as programmable resources for controlling order in time. Here we report the realization of a non-Markovian spin oscillator in a hot vapour 129Xe-Cs co-magnetometer with programmable feedback delay and gain. By tuning these parameters, we observe a hierarchy of dynamical phases, including time-crystalline response, nonlinear bifurcations, and frequency-comb formation. The measured spectra and phase boundaries are captured by linear stability analysis of delayed Bloch equations, revealing these phenomena as different manifestations of the same memory-induced instability structure. These results establish time-delayed feedback as a powerful strategy for controlling non-equilibrium phases, enabling quantum sensing, frequency referencing, and synchronization within a single spin-based platform.

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Cite

BibTeXRIS
BibTeX
@misc{ellis2026delayengineered,
  title = {{Delay-engineered dynamical phases in a programmable non-Markovian spin oscillator}},
  author = {L. M. Ellis and L. M. Rushton and J. D. Zipfel and P. Bevington and M. Jayaseelan and W. Chalupczak and V. Guarrera},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.11383},
  eprint = {2609.11383},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.11383},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Delay-engineered dynamical phases in a programmable non-Markovian spin oscillator
AU  - L. M. Ellis
AU  - L. M. Rushton
AU  - J. D. Zipfel
AU  - P. Bevington
AU  - M. Jayaseelan
AU  - W. Chalupczak
AU  - V. Guarrera
PY  - 2026
DA  - 2026/09/10
PB  - arXiv
DO  - 10.48550/arxiv.2609.11383
UR  - https://arxiv.org/abs/2609.11383
AB  - Non-Markovian dynamics offer a new route towards engineering non-equilibrium matter, where memory and feedback act as programmable resources for controlling order in time. Here we report the realization of a non-Markovian spin oscillator in a hot vapour ^129Xe-Cs co-magnetometer with programmable feedback delay and gain. By tuning these parameters, we observe a hierarchy of dynamical phases, including time-crystalline response, nonlinear bifurcations, and frequency-comb formation. The measured spectra and phase boundaries are captured by linear stability analysis of delayed Bloch equations, revealing these phenomena as different manifestations of the same memory-induced instability structure. These results establish time-delayed feedback as a powerful strategy for controlling non-equilibrium phases, enabling quantum sensing, frequency referencing, and synchronization within a single spin-based platform.
ER  -