Time-resolved statistics of photon pairs in two-cavity Josephson photonics

Abstract

We analyze the creation and emission of pairs of highly nonclassical microwave photons in a setup where a voltage-biased Josephson junction is connected in series to two electromagnetic oscillators. Tuning the external voltage such that the Josephson frequency equals the sum of the two mode frequencies, each tunneling Cooper pair creates one additional photon in both of the two oscillators. The time-resolved statistics of photon emission events from the two oscillators is investigated by means of single- and cross-oscillator variants of the second-order correlation function $g^{(2)}(\tau )$ and the waiting-time distribution $w(\tau )$. They provide insight into the strongly correlated quantum dynamics of the two oscillator subsystems and reveal a rich variety of quantum features of light including strong antibunching and the presence of negative values in the Wigner function.

9 pages, 7 figures; invited contribution to special volume "FQMT'15: Frontiers of Quantum and Mesoscopic Thermodynamics (Prague, Czech Republic, 27 July - 1 August 2015)"

References in corpus (10)

• Tunneling processes into localized subgap states in superconductors
• Semiconductor double quantum dot micromaser
• Electron Waiting Times in Mesoscopic Conductors
• Bunching and anti-bunching in electronic transport
• Josephson photonics with a two-mode superconducting circuit
• Antibunched photons from inelastic Cooper-pair tunneling
• Electron waiting times in coherent conductors are correlated
• Time-resolved statistics of nonclassical light in Josephson photonics
• Photon cross-correlations emitted by a Josephson junction in two microwave cavities
• Critical Josephson current in the dynamical Coulomb blockade regime

Cited by in corpus (6)

• Microwave photonics with superconducting quantum circuits
• Electron Waiting Times of a Cooper Pair Splitter
• Electron waiting times of a periodically driven single-electron turnstile
• Generating entangled quantum microwaves in a Josephson-photonics device
• Waiting time distributions in a two-level fluctuator coupled to a superconducting charge detector
• Josephson Photonics with Simultaneous Resonances