Quantum Correlations and Critical Phenomena in Cavity QED Networks

I will present our recent results within the models of Cavity Quantum Electrodynamics Networks. The talk will be focused on two problems:
I) Dynamical features of the quantum correlations (entropic and geometric measures), where the generation, propagation, sudden transitions and freezing phenomena are analysed.
II) Quantum simulation of a phase transition (self-trapping effect), where a transition from a superfluid polaritonic state to a Mott insulator polaritonic state occurs as triggered by the photon losses in a network with two cavities, each one coupled to the individual reservoir at zero temperature. In this study we demonstrate the importance of the quantities as damping rate, hopping rate and Negativity as measure of entanglement, in detecting and controlling the mentioned phases.

References
[1] M. Orszag, N. Ciobanu, R. Coto, V. Eremeev, J. Mod. Opt. 61,1 (2015)
[2] R. Coto, M. Orszag, V. Eremeev, Phys. Rev. A 91, 043841 (2015)