Continuous heterodyne measurement reveals apparent quantum limit cycles in the van der Pol oscillator and two-level systems, showing similarity to classical limit cycles with noise and linking synchronization measures to experimentally accessible quantities.
The noise processes have zero mean,E[ξ x(t)] =E[ξ y(t)] = 0, and their variances areE[ξ x(t)ξx(t′)] =E[ξ y(t)ξy(t′)] = δ(t−t ′)
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Quantum limit cycles and synchronization from a measurement perspective
Continuous heterodyne measurement reveals apparent quantum limit cycles in the van der Pol oscillator and two-level systems, showing similarity to classical limit cycles with noise and linking synchronization measures to experimentally accessible quantities.