Stroboscopic nonlinear dynamics: a time-independent theoretical framework
Abstract
Recent experiments have demonstrated the ability to manipulate nonlinear interactions via time modulation, giving rise to the so-called stroboscopic nonlinearity. To date, however, this phenomenon has not been subjected to a rigorous theoretical analysis. In this work, we elucidate the physical mechanism underlying stroboscopic nonlinear dynamics and establish an effective time-independent model under suitable modulation conditions. The proposed model almost exactly reproduces the full time-dependent dynamics in the quasi-steady state and significantly outperforms empirical descriptions used previously. Our results provide a clear physical picture of stroboscopic nonlinear dynamics and establish a general framework for engineering nonlinear interactions through temporal modulation.
Cite
@article{arxiv.2602.07600,
title = {Stroboscopic nonlinear dynamics: a time-independent theoretical framework},
author = {Yuhui Zhuang and Jiaxin Li and Haidong Li and Siyu Li and Xiaobin Peng and Juan Wu and Jiameng Zhang and Mingjing Fan and Yi Hu and Jingjun Xu},
journal= {arXiv preprint arXiv:2602.07600},
year = {2026}
}