Extracting the lifetime of a synthetic two-level system

The Kerr Parametric Oscillator (KPO) is a nonlinear resonator system that often described as synthetic two-level system. In the presence of noise, switches between two states via fluctuating trajectory in phase space, instead following straight path. such trajectories makes it hard to establish precise count or even useful definition, “lifetime” state. Addressing this issue, we compare several rate counting methods allow estimate lifetime for levels. particular, peak Allan variance fluctuations can also be used determine levels' lifetime. Our work provides basis characterizing KPO networks simulated annealing where an accurate determination state fundamental importance.