Squeezing on the Two-Photon Resonance in Cavity Quantum Electrodynamics

Abstract

We consider the open Jaynes-Cummings model driven on the two{photon resonance, in the regime of very strong coupling. The open nature of the system means that loss of photons through the cavity mirrors as well as through spontaneous emission is allowed for. A variety of interesting quantum{optical phenomena have already been found to occur in this system. Specifically, behaviour indicative of a multiphoton blockade has been observed, and the system undergoes a transition from strongly bunched to antibunched light production as the drive strength is increased. In this thesis, we examine the possibility of finding squeezed light in the cavity output field, through numerical simulations and an analytic model of the system. For this purpose, calculations exploring squeezing of the cavity internal mode in the system steady{state are performed, and the squeezing spectrum of the cavity output field is computed. In addition to the two{photon resonance, the Jaynes-Cummings model with the atom, cavity mode and external drive all resonant is considered. The quasienergies and quasienergy states for this system are known, and exhibit interesting behaviour with regards to squeezing as a certain critical point in the drive strength is approached. We explore the possibility of performing an adiabatic following of the system ground state in order to obtain squeezing of the cavity internal mode, both in the presence and absence of damping.