Non-classical light from superconducting resonators coupled to voltage-biased Josephson junctions
Bj\"orn Kubala, Vera Gramich, Joachim Ankerhold

TL;DR
This paper explores how a voltage-biased Josephson junction coupled to a microwave cavity can generate non-classical light states, with detailed analysis of photon correlations, distributions, and nonlinearity effects.
Contribution
It introduces a theoretical framework for understanding non-classical light emission from superconducting resonators coupled to Josephson junctions, including explicit analytical expressions for photon correlations.
Findings
Generation of non-classical light states including bunched and anti-bunched photons.
Analytical expressions for photon correlation function g^{(2)}(0).
Observation of squeezing and non-Poissonian photon distributions.
Abstract
The interplay of the tunneling transfer of charges and the emission and absorption of light can be investigated in a set-up, where a voltage-biased Josephson junction is placed in series to a microwave cavity. Here, we concentrate on the emission process and show that due to the inherent nonlinearity of the Josephson junction tunneling Cooper-pairs can create a variety of non-classical states of light. Depending on experimental parameters and tuning the device can be described by effective Hamiltonians, indicating specific photon creation mechanisms which lead to strongly bunched or anti-bunched light emission. We derive explicit analytical expressions for the photon correlation function for these different processes and investigate their full crossover numerically. Photon distribution functions show squeezing and other interesting non-Poissonian behavior.
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