Single photon nonlinearities using arrays of cold polar molecules

Abstract

We model single photon nonlinearities resulting from the dipole-dipole interactions of cold polar molecules. We propose utilizing ``dark state polaritons'' to effectively couple photon and molecular states; through this framework, coherent control of the nonlinearity can be expressed and potentially used in an optical quantum computation architecture. Due to the dipole-dipole interaction the photons pick up a measurable nonlinear phase even in the single photon regime. A manifold of protected symmetric eigenstates is used as basis. Depending on the implementation, major sources of decoherence result from non-symmetric interactions and phonon dispersion. We discuss the strength of the nonlinearity per photon and the feasibility of this system.

arXiv comment8 pages, 9 figures Accepted for publication in Physical Review A

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• Zeeman relaxation of MnH (X7Σ+) in collisions with 3He: mechanism and comparison with experiment
• Nonlinear speed-ups in ultracold quantum gases