Nonlocal nonlinear optics in cold Rydberg gases.

  title={Nonlocal nonlinear optics in cold Rydberg gases.},
  author={Sevilay Sevinçli and N. Henkel and Cenap Ates and Thomas Pohl},
  journal={Physical review letters},
  volume={107 15},
We present an analytical theory for the nonlinear optical response of a strongly interacting Rydberg gas under conditions of electromagnetically induced transparency. Simple formulas for the third-order optical susceptibility are derived and shown to be in excellent agreement with recent experiments. The obtained expressions reveal strong nonlinearities, which in addition are of highly nonlocal character. This property together with the enormous strength of the Rydberg-induced nonlinearities is… 

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We verified numerically that the local approximation still holds along the propagation direction for the parameters of this work