Markovian Dynamics of Josephson Parametric Amplification

Introduction to parametric amplification of quantum signals with Josephson circuits

Article history: Available online 10 August 2016

Quantum Dynamics of Non-Degenerate Parametric Amplification

A simple model of a two-mode non-resonant parametric amplifier is studied with special regard to non-classical features such as revivals and squeezing. The methods used apply for an arbitrary pump parameter. Detailed analytical and explicit expressions are given when the coupling of the two modes has an harmonic time-dependence. Despite its simplicity the model exhibits a very broad range of in...

Parametric Amplification of Atoms

Statistics of radiation at Josephson parametric resonance

Motivated by recent experiments, we study theoretically the full counting statistics of radiation emitted below the threshold of parametric resonance in a Josephson-junction circuit. In contrast to most optical systems, a significant part of emitted radiation can be collected and converted to an output signal. This permits studying the correlations of the radiation. To quantify the correlations...

Four photon parametric amplification