Parametric effects in circuit quantum electrodynamics (Review Article)
Laboratory for Physical Sciences, College Park, MD 20740, USA
Department of Microelectronics and Nanoscience, Chalmers University of Technology, 41296 Göteborg, Sweden
Received March 4, 2019, published online June 26, 2019
We review recent advances in the research on quantum parametric phenomena in superconducting circuits with Josephson junctions. We discuss physical processes in parametrically driven tunable cavity and outline theoretical foundations for their description. Amplification and frequency conversion are discussed in detail for degenerate and nondegenerate parametric resonance, including quantum noise squeezing and photon entanglement. Experimental advances in this area played decisive role in successful development of quantum limited parametric amplifiers for superconducting quantum information technology. We also discuss nonlinear down-conversion processes and experiments on self-sustained parametric and subharmonic oscillations.
Key words: сircuit quantum electrodynamics, tunable resonator, Josephson junction, parametric amplifier, para-metric oscillator, subharmonic oscillation, quantum squeezing, signal-to-noise ratio.