Photonic phase transitions and generation of entangled states in coupled cavity arrays
Dimitris Angelakis
DAMTP, University of Cambridge
Abstract: We show that in an array of coupled cavities doped with two level atoms, one could exploit photon blockade to achieve both a Mott insulator state with polaritons and a highly entangled state between the sites. By varying the detuning of the atomic level spacing and photonic frequency one can proceed from a photon superfluid in a lattice to a polaritonic Mott state [1]. In the Mott regime the system simulates a XY spin model with the presence and absence of polaritons corresponding to spin up and down. We first study a robust scheme of entangling atoms in two cavities by measurements on an intervening cavity which utilizes both the analogy with the XY model, as well as the local addressability of the cavities. We conclude by presenting an approach for generating cluster states in the array and discuss possible experimental implementations.
[1] D. G. Angelakis, M. Santos, S. Bose, quantum-ph/0606159