We propose a Floquet-engineered framework for the coherent control of the light-matter interaction in a two-level system (TLS) located in a time-modulated cavity. Strictly phase-preserving operation of the TLS-cavity interaction is demonstrated, allowing the interrupt and retrieval of coherent Rabi oscillations without the loss of quantum information. By introducing a phonon reservoir, it is proved that the frequency instability induced from non-Markovian processes does not produce significant phase decoherence during Floquet modulation. Our results provide new insights into the fundamental physics of a driven quantum system and establish Floquet engineering as a powerful tool for coherent quantum information processing.
@article{arxiv.2603.14279,
title = {Phase-preserving control of Floquet-engineered cavity quantum electrodynamics},
author = {J. W. Yu and X. Q. Zhou and Z. B. Ni and X. T. Cheng and Y. Zhao and H. H. Zhu and C. H. Li and F. Liu and C. Y. Jin},
journal= {arXiv preprint arXiv:2603.14279},
year = {2026}
}