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arXiv · 2409.08791

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

Yuzuru Kato·Hiroya Nakao
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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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Yuzuru Kato, Hiroya Nakao. 2024-09-13. Quantum spin van der Pol oscillator -- a spin-based limit-cycle oscillator exhibiting quantum synchronization. https://doi.org/10.1103/mfvy-bbzm

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