Extracting the lifetime of a synthetic two-level system

Abstract

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

References in corpus (6)

• Photon generation in an electromagnetic cavity with a time-dependent boundary
• Josephson parametric phase-locked oscillator and its application to dispersive readout of superconducting qubits
• Activation barrier scaling and crossover for noise-induced switching in a micromechanical parametric oscillator
• Paths of fluctuation induced switching
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Cited by in corpus (5)

• The squeezed Kerr oscillator: spectral kissing and phase-flip robustness
• Observation of first- and second-order dissipative phase transitions in a two-photon driven Kerr resonator
• Deterministic and stochastic sampling of two coupled Kerr parametric oscillators
• Proliferation of unstable states and their impact on stochastic out-of-equilibrium dynamics
• Three Strongly Coupled Kerr Parametric Oscillators Forming a Boltzmann Machine