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Quantum spin van der Pol oscillator -- a spin-based limit-cycle oscillator exhibiting quantum synchronization

2024/09/13 by Yuzuru Kato, Hiroya Nakao, Kato, Yuzuru +1
Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #FOS: Physical sciences #Mechanical and Optical Resonators #Quantum Physics (quant-ph) #Quantum and electron transport phenomena #Quantum optics and atomic interactions

paper · pdf · doi:10.48550/arxiv.2409.08791

openalex publication_date 2024/09/13 · openalex created_date 2024/10/23 · openalex updated_date 2026/07/28

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.

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