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

• URL: http://arxiv.org/abs/2409.08791v1
• Date: Fri, 13 Sep 2024 12:53:29 GMT
• Title: Quantum spin van der Pol oscillator -- a spin-based limit-cycle oscillator exhibiting quantum synchronization
• Authors: Yuzuru Kato, Hiroya Nakao,
• Abstract summary: We introduce a quantum spin van der Pol (vdP) oscillator as a prototypical model of quantum spin-based limit-cycle oscillators. The proposed quantum spin vdP oscillator will provide a useful platform for analyzing quantum spin synchronization.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We introduce a quantum spin van der Pol (vdP) oscillator as a prototypical model of quantum spin-based 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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