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Statistics of radiation at Josephson parametric resonance

Ciprian Padurariu, Fabian Hassler, and Yuli V. Nazarov
Phys. Rev. B 86, 054514 – Published 23 August 2012

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 the 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.

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  • Received 18 December 2011

DOI:https://doi.org/10.1103/PhysRevB.86.054514

©2012 American Physical Society

Authors & Affiliations

Ciprian Padurariu1, Fabian Hassler2, and Yuli V. Nazarov1

  • 1Kavli Institute of Nanoscience, Delft University of Technology, Lorentzweg 1, 2628 CJ Delft, The Netherlands
  • 2Institute for Quantum Information, RWTH Aachen University, D-52056 Aachen, Germany

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Issue

Vol. 86, Iss. 5 — 1 August 2012

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