Statistics of radiation at Josephson parametric resonance
arXiv:1112.4159 · doi:10.1103/PhysRevB.86.054514
Abstract
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, we derive a closed expression for full counting statistics in the limit of long measurement times. We demonstrate that the statistics can be interpreted in terms of uncorrelated bursts each encompassing 2N photons, this accounts for the bunching of the photon pairs produced in course of the parametric resonance. We present the details of the burst rates. In addition, we study the time correlations within the bursts and discuss experimental signatures of the statistics deriving the frequency-resolved cross-correlations.
12 pages, 7 figures
References in corpus (7)
- Resonance Fluorescence of a Single Artificial Atom
- The Single-Photon Router
- Single artificial-atom lasing
- The Bright Side of Coulomb Blockade
- Selective darkening of degenerate transitions demonstrated with two superconducting quantum bits
- Feedback of the electromagnetic environment on current and voltage fluctuations out of equilibrium
- Full Counting Statistics and Field Theory
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