  We predict a bistability in the photon emission from a solid-state
single-atom laser comprising a microwave cavity coupled to a voltage-biased
double quantum dot. To demonstrate that the single-atom laser is bistable, we
evaluate the photon emission statistics and show that the distribution takes
the shape of a tilted ellipse. The switching rates of the bistability can be
extracted from the electrical current and the shot noise in the quantum dots.
This provides a means to control the photon emission statistics by modulating
the electronic transport in the quantum dots. Our prediction is robust against
moderate electronic decoherence and dephasing and is important for current
efforts to realize single-atom lasers with gate-defined quantum dots as the
gain medium.
