Photon blockade induced Mott transitions and XY spin models in coupled cavity arrays

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  • 20 June 2006
Abstract
We show that in an array of coupled cavities doped with two level atoms, one could exploit photon blockade to achieve a Mott insulator state with polaritons. 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. 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 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.

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