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- W4366399504 abstract "In this study, we analyze the phase synchronization of multiple quantum oscillators using a phase reduction method. In the previous study [arXiv:2208.12006], we proposed a Lie-algebraic phase reduction that reduces the dynamics of quantum limit-cycle oscillation to the phase variable. Furthermore, we reported that the back-action of continuous measurement induces clustering among the quantum oscillators. To analyze synchronization of multiple quantum oscillators without being biased by this back-action, we employ the heterodyne detection scheme, which averages out the back-action of continuous measurement over all possible observables. We demonstrate that common Hermitian noise induces synchronization between two quantum oscillators, which is a signature of the noise-induced synchronization, and that the number of possible clusters in the phase space is restricted by the number of bosonic levels. By applying the mean-field approximation, we analyze synchronization of quantum oscillators in the presence of global coupling. We can derive the noisy Kuramoto model from quantum van der Pol oscillators and adapt a generalized Ott-Antonsen ansatz to it, in the presence of global coupling in the heterodyne detection scheme." @default.
- W4366399504 created "2023-04-21" @default.
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- W4366399504 date "2023-04-17" @default.
- W4366399504 modified "2023-09-25" @default.
- W4366399504 title "Lie algebraic phase reduction for synchronization of multiple quantum oscillators" @default.
- W4366399504 doi "https://doi.org/10.48550/arxiv.2304.08164" @default.
- W4366399504 hasPublicationYear "2023" @default.
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