We study the photon emission from a voltage-biased double quantum dot coupled to a microwave cavity [1,2], an example of so-called hybrid circuit-QED. We find that the resulting photonic statistics can exhibit a dynamic bistability, which we validated by showing that the distribution describing these statistics has the shape of a tilted ellipse. The switching rates which describe the bistability can be extracted from the electrical current and the shot noise in the quantum dots, and used to predict this elliptic form of the photonic distribution. We also explore how the state of the cavity can be manipulated and made "more coherent" with techniques from feedback control.

[1] N. Lambert, F. Nori, and C. Flindt, Physical Review Letters 115, 216803 (2015).
[2] N. Lambert, C. Flindt, and F. Nori, Euro. Phys. Lett. 103, 17005 (2013)