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Oscillation and synchronization of two quantum self-sustained oscillators. (English) Zbl 1456.81211

Summary: The synchronization properties of two self-sustained quantum oscillators are studied in the Wigner representation. Instead of considering the quantum limit of the quantum van-der-Pol master equation we derive the quantum master equation directly from a suitable Hamiltonian. Moreover, the oscillators are coupled by incorporating an additional phase factor which shows up in the mutual correlations.

MSC:

81Q80 Special quantum systems, such as solvable systems
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References:

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