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 conditional master equation is ˙ρ=−i δ 4[σz A −σ z B, ρ] +VD[σ − A +σ − B]ρ +γ + D[σ+ A] +D[σ + B] ρ+γ − D[σ− A] +D[σ − B] ρ + dWA dt √γ− eiωmt(σ− A −Tr σ− A ρm )ρm + H.c
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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.