Geometric Phase in Quantum Synchronization
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866914645546106880 |
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| author | Daniel, Aaron Bruder, Christoph Koppenhöfer, Martin |
| author_facet | Daniel, Aaron Bruder, Christoph Koppenhöfer, Martin |
| contents | We consider a quantum limit-cycle oscillator implemented in a spin system whose quantization axis is slowly rotated. Using a kinematic approach to define geometric phases in nonunitary evolution, we show that the quantum limit-cycle oscillator attains a geometric phase when the rotation is sufficiently slow. In the presence of an external signal, the geometric phase as a function of the signal strength and the detuning between the signal and the natural frequency of oscillation shows a structure that is strikingly similar to the Arnold tongue of synchronization. Surprisingly, this structure vanishes together with the Arnold tongue when the system is in a parameter regime of synchronization blockade. We derive an analytic expression for the geometric phase of this system, valid in the limit of slow rotation of the quantization axis and weak external signal strength, and we provide an intuitive interpretation for this surprising effect. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_08866 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Geometric Phase in Quantum Synchronization Daniel, Aaron Bruder, Christoph Koppenhöfer, Martin Quantum Physics Mesoscale and Nanoscale Physics Adaptation and Self-Organizing Systems We consider a quantum limit-cycle oscillator implemented in a spin system whose quantization axis is slowly rotated. Using a kinematic approach to define geometric phases in nonunitary evolution, we show that the quantum limit-cycle oscillator attains a geometric phase when the rotation is sufficiently slow. In the presence of an external signal, the geometric phase as a function of the signal strength and the detuning between the signal and the natural frequency of oscillation shows a structure that is strikingly similar to the Arnold tongue of synchronization. Surprisingly, this structure vanishes together with the Arnold tongue when the system is in a parameter regime of synchronization blockade. We derive an analytic expression for the geometric phase of this system, valid in the limit of slow rotation of the quantization axis and weak external signal strength, and we provide an intuitive interpretation for this surprising effect. |
| title | Geometric Phase in Quantum Synchronization |
| topic | Quantum Physics Mesoscale and Nanoscale Physics Adaptation and Self-Organizing Systems |
| url | https://arxiv.org/abs/2302.08866 |