Solvable model of quantum-optical feedback

A quantized optical cavity mode controlled by dissipation, two-photon source and feedback loop is studied. The feedback is activated by detections of photons leaving the cavity and consists of rapid phase shifts of the cavity field by π. The steady-state of the mode and first-order field correlation functions let analytical exploration. The feedback radically modifies the shape of the mode's spectrum - it gets asymmetry and its double-peaked structure manifests itself much more discernibly than in no-feedback case. Up to our knowledge, the present quantum feedback model is the first one which permits exact solution.