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PreprintCC BY 4.0arXiv

Modulation Induced Memory Resonances in Dynamically Driven Optical Cavities

Abstract

Temporal modulation of optical cavities provides a powerful mechanism for controlling photonic states beyond the static cavity paradigm. Here, we investigate the dynamics of periodically driven optical cavities using a time-dependent cavity-field model with modulated resonance frequencies. We demonstrate modulation-induced tuning of cavity resonances and analyze the resulting intracavity field evolution in both amplitude and phase. The interplay between periodic modulation and cavity dissipation gives rise to pronounced hysteretic behavior, revealing memory effects associated with the finite photon lifetime of the cavity. By quantifying the hysteresis area as a function of modulation frequency, we identify distinct memory resonances characterized by enhanced field-history dependence at specific driving frequencies. Furthermore, we examine the time-resolved local density of optical states (LDOS) and show that temporal modulation enables dynamic spectral redistribution of photonic states, with the degree of confinement governed by the cavity loss rate. Our results establish a simple framework for understanding and engineering memory effects in dynamically driven optical resonators and provide new opportunities for tunable photonic environments, dynamic LDOS control, and reconfigurable light-matter interactions.

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BibTeX
@misc{lone2026modulation,
  title = {{Modulation Induced Memory Resonances in Dynamically Driven Optical Cavities}},
  author = {Faizan H. Lone},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.08622},
  eprint = {2611.08622},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.08622},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Modulation Induced Memory Resonances in Dynamically Driven Optical Cavities
AU  - Faizan H. Lone
PY  - 2026
DA  - 2026/11/05
PB  - arXiv
DO  - 10.48550/arxiv.2611.08622
UR  - https://arxiv.org/abs/2611.08622
AB  - Temporal modulation of optical cavities provides a powerful mechanism for controlling photonic states beyond the static cavity paradigm. Here, we investigate the dynamics of periodically driven optical cavities using a time-dependent cavity-field model with modulated resonance frequencies. We demonstrate modulation-induced tuning of cavity resonances and analyze the resulting intracavity field evolution in both amplitude and phase. The interplay between periodic modulation and cavity dissipation gives rise to pronounced hysteretic behavior, revealing memory effects associated with the finite photon lifetime of the cavity. By quantifying the hysteresis area as a function of modulation frequency, we identify distinct memory resonances characterized by enhanced field-history dependence at specific driving frequencies. Furthermore, we examine the time-resolved local density of optical states (LDOS) and show that temporal modulation enables dynamic spectral redistribution of photonic states, with the degree of confinement governed by the cavity loss rate. Our results establish a simple framework for understanding and engineering memory effects in dynamically driven optical resonators and provide new opportunities for tunable photonic environments, dynamic LDOS control, and reconfigurable light-matter interactions.
ER  -