Quantum spin van der Pol oscillator -- a spin-based limit-cycle oscillator exhibiting quantum synchronization
Adaptation and Self-Organizing Systems
2025-11-20 v2 Quantum Physics
Abstract
We introduce a quantum spin van der Pol (vdP) oscillator as a prototypical model of quantum spinbased limit-cycle oscillators, which coincides with the quantum optical vdP oscillator in the high-spin limit. The system is described as a noisy limit-cycle oscillator in the semiclassical regime at large spin numbers, exhibiting frequency entrainment to a periodic drive. Even in the smallest spin-1 case, mutual synchronization, Arnold tongues, and entanglement tongues in two dissipatively coupled oscillators, and collective synchronization in all-to-all coupled oscillators are clearly observed. The proposed quantum spin vdP oscillator will provide a useful platform for analyzing quantum spin synchronization.
Cite
@article{arxiv.2409.08791,
title = {Quantum spin van der Pol oscillator -- a spin-based limit-cycle oscillator exhibiting quantum synchronization},
author = {Yuzuru Kato and Hiroya Nakao},
journal= {arXiv preprint arXiv:2409.08791},
year = {2025}
}
Comments
18 pages, 6 figures