Critical fluctuations and the rates of interstate switching near excitation threshold of a quantum parametric oscillator
arXiv:1505.06442 · doi:10.1103/PhysRevE.92.022105
Abstract
We study the dynamics of a nonlinear oscillator near the critical point where period-two vibrations are first excited with the increasing amplitude of parametric driving. Above the threshold, quantum fluctuations induce transitions between the period-two states over the quasienergy barrier. We find the effective quantum activation energies for such transitions and their scaling with the difference of the driving amplitude from its critical value. We also find the scaling of the fluctuation correlation time with the quantum noise parameters in the critical region near the threshold.
References in corpus (8)
- Amplification and squeezing of quantum noise with a tunable Josephson metamaterial
- Confining the state of light to a quantum manifold by engineered two-photon loss
- Photon generation in an electromagnetic cavity with a time-dependent boundary
- Controlling the dynamic range of a Josephson parametric amplifier
- Parametric resonance in tunable superconducting cavities
- Josephson parametric phase-locked oscillator and its application to dispersive readout of superconducting qubits
- Critical exponents in metastable decay via quantum activation
- Investigation of nonlinear effects in Josephson parametric oscillators used in circuit QED
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