Steady-State Two Atom Entanglement in a Pumped Cavity Enhanced by Nonlinear Mirrors

We demonstrate the steady-state entanglement of two two-level atoms inside a pumped cavity with photon leakage through a nonlinear mirror and through spontaneous decay, and show that the entanglement is enhanced by the presence of a nonlinear mirror. Our model assumes the vacuum Rabi splitting of the dressed states of the system to be much larger than any of the decay parameters of the system. We also discuss how the dressed states of the system offer us intuition as to where the entanglement lies in the state space spanned by the system, and allow us the optimize the system.