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.
(21), SA,B(ω) = lim t→∞ Z ∞ −∞ dτ⟨σ + A,B(t+τ)σ − A,B(t)⟩e −iωτ (41) i.e., the Fourier transforms of the two-time correlations ⟨σ+ A,B(t+τ)σ − A,B(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.