Phase synchronization in coupled quantum self-sustained systems is enabled only by joint coherences that preserve total excitation (or excitation difference for hybrid spin-oscillator pairs), a rule derived and tested across three system classes.
Wigner function for the state ρ of a continuous variable oscillator is defined as W (x, p) = 1 π Z ∞ −∞ dy ⟨x − y|ρ|x + y⟩ exp(2ipy)
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Understanding synchronization between quantum self-sustained oscillators through coherence generation
Phase synchronization in coupled quantum self-sustained systems is enabled only by joint coherences that preserve total excitation (or excitation difference for hybrid spin-oscillator pairs), a rule derived and tested across three system classes.