STAGE Spectral Properties of Driven-Dissipative Quantum Light Matter Systems

Experimental progress in coupling light and matter at the quantum level achieved with cavity-Quantum Electrodynamics (CQED) has brought forth new platforms for many body quantum optics, where light and matter play equally important roles in collective quantum behavior. Examples include microcavity exciton-polaritons showing non-equilibrium superfluidity, arrays of coupled CQED cavities hosting correlated states of light, such as the driven-dissipative Mott insulator of polaritons. From a theoretical perspective CQED arrays can be described by models of interacting bosons in presence of both external driving fields and dissipation mechanisms, representing unavoidable particle losses, dephasing and decoherence processes and which are naturally described in terms of many-body Lindblad Master Equations for the system density matrix. The goal of this master project is to investigate spectral properties of driven and dissipative quantum light matter systems, (such as Resonance Fluorescence, Mollow Triplet line shape,...) using a combination of analytical and numerical techniques that we have recently developed in our group.