Regensburg 2019 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 10: Focus Session: New Bright Sources of Quantum Microwaves

TT 10.8: Talk

Monday, April 1, 2019, 18:15–18:30, H2

Full photon counting statistics at non-degenerate Josephson parametric resonance — •Lisa Arndt and Fabian Hassler — JARA-Institute for Quantum Information, RWTH Aachen University, D-52056 Aachen, Germany

Due to parametric down conversion, a dc-biased Josephson junction coupled to two microwave resonators emits photon pairs when the Josephson frequency matches the sum of the two resonance frequencies. Recent experiments have shown that such a setup permits analyzing the correlation of the radiation [1]. Motivated by these results, we study theoretically the full counting statistics (FCS) of a non-degenerate parametric oscillator below the instability threshold. We focus on the limit of long measurement times and derive the FCS for arbitrary detuning between the driving frequency and the sum of the resonance frequencies. Additionally, we study the impact of asymmetry in the linewidth of the modes—a distinctive property of the non-degenerate resonance effect. In particular, we find that the frequency of the photons emitted by the mode with the larger linewidth is shifted by the total detuning, while the other mode emits photons at the resonance frequency.
M. Westig, B. Kubala, O. Parlavecchio, Y. Mukharsky, C. Altimiras, P. Joyez, D. Vion, P. Roche, D. Esteve, M. Hofheinz, M. Trif, P. Simon, J. Ankerhold, and F. Portier, Phys. Rev. Lett. 119, 137001 (2017)