Quantum dynamics and dissipation-driven formation of entangled dark states in strongly coupled many-qubit systems in solid-state nanocavities

We study quantum dynamics of many-qubit systems strongly coupled to a quantized electromagnetic field of a nanocavity in the presence of decoherence and dissipation for both fermions and cavity photons, and taking into account the nonuniform nanocavity field and the spread of qubit transition frequencies. We show that the dissipation in a cavity may drive the system into many-qubit entangled dark states that live much longer than the cavity decay time and can be used for quantum information applications.