Non-degenerate parametric resonance in tunable superconducting cavity
arXiv:1704.05083 · doi:10.1103/PhysRevApplied.8.024018
Abstract
We develop a theory for non-degenerate parametric resonance in a tunable superconducting cavity. We focus on nonlinear effects that are caused by nonlinear Josephson elements connected to the cavity. We analyze parametric amplification in a strong nonlinear regime at the parametric instability threshold, and calculate maximum gain values. Above the threshold, in the parametric oscillator regime the linear cavity response diverges at the oscillator frequency at all pump strengths. We show that this divergence is related to the continuous degeneracy of the free oscillator state with respect to the phase. Applying on-resonance input lifts the degeneracy and removes the divergence. We also investigate the quantum noise squeezing. It is shown that in the strong amplification regime the noise undergoes four-mode squeezing, and that in this regime the output signal to noise ratio can significantly exceed the input value. We also analyze the intermode frequency conversion and identify parameters at which full conversion is achieved.
21 pages, 15 figs
References in corpus (11)
- Amplification and squeezing of quantum noise with a tunable Josephson metamaterial
- Observation of quantum jumps in a superconducting artificial atom
- A widely tunable parametric amplifier based on a SQUID array resonator
- Generating Entangled Microwave Radiation Over Two Transmission Lines
- Path Entanglement of Continuous-Variable Quantum Microwaves
- Widely tunable, non-degenerate three-wave mixing microwave device operating near the quantum limit
- Selective coupling of superconducting qubits via tunable stripline cavity
- Observation of Entanglement Between Itinerant Microwave Photons and a Superconducting Qubit
- High-gain weakly nonlinear flux-modulated Josephson parametric amplifier using a SQUID-array
- Resonance fluorescence from an artificial atom in squeezed vacuum
- Full coherent frequency conversion between two microwave propagating modes
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- Spectroscopic observation of the crossover from a classical Duffing oscillator to a Kerr parametric oscillator
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