Superradiance and Lasing in Driven-Dissipative Dicke models

Abstract

We study the differences between the normal, the superradiant, and the lasing phases emerging in a model describing an ensemble of atoms interacting with a single quantized mode of light. The model interpolates between the two well known Dicke and Tavis-Cummings Hamiltonians. We obtain the phase diagram using a mean-field stability analysis and an exact numerical calculation, that allows us to evaluate observables such as the expected value of the number of photons and population inversion. We finish our work by analyzing and comparing the spectra of light emitted in each of these phases