Quantum spin van der Pol oscillator -- a spin-based limit-cycle oscillator exhibiting quantum synchronization
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917090771861504 |
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| author | Kato, Yuzuru Nakao, Hiroya |
| author_facet | Kato, Yuzuru Nakao, Hiroya |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_08791 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum spin van der Pol oscillator -- a spin-based limit-cycle oscillator exhibiting quantum synchronization Kato, Yuzuru Nakao, Hiroya Adaptation and Self-Organizing Systems Quantum Physics 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. |
| title | Quantum spin van der Pol oscillator -- a spin-based limit-cycle oscillator exhibiting quantum synchronization |
| topic | Adaptation and Self-Organizing Systems Quantum Physics |
| url | https://arxiv.org/abs/2409.08791 |