Stabilizing zero temperature quantum phases and incompressible states of light via non-Markovian reservoir engineering
José Lebreuilly (Laboratoire Pierre Aigrain, ENS, Paris)
We study the possibility of stabilizing strongly correlated quantum fluids of light in driven-dissipative devices through novel non-Markovian reservoir engineering techniques. This approach allows to compensate losses and refill selectively the photonic population so to sustain a desired steady-state. It relies in particular on the use of a frequency-dependent incoherent pump which can be implemented, e.g., via embedded two-level systems maintained at a strong inversion of population. As specific applications of these methods, we discuss the generation of a photonic Mott Insulator (MI). As a first step, we present the case of a narrow band emission spectrum and show how this allows for the stabilization of MI states under the condition that the photonic states are relatively flat in energy. As soon as the photonic bandbwidth becomes comparable to the emission linewidth, important non-equilibrium signatures and entropy generation appear, and a novel dissipative phase transition from a Mott Insulating state toward a superfluid (SF) phase is unveiled. As a second step, we present a more advanced configuration based on reservoirs with a broadband frequency distribution, and we highlight the potential of this configuration for the quantum simulation of equilibrium quantum phases at zero temperature with tunable chemical potential. As a proof of principle we establish the applicability of our scheme to the Bose-Hubbard model by confirming the presence of a perfect agreement with the ground-state predictions both in the MI and SF regions, and more generally in all parts of the parameter space.