Nonlocal Nonlinear Optics in cold Rydberg Gases

Abstract

We present an analytical theory for the nonlinear optical response of a strongly interacting Rydberg gas under conditions of electromagnetically induced transparency. Simple formulae 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 enormous strength of the Rydberg-induced nonlinearities is shown to yield a unique laboratory platform for nonlinear wave phenomena, such as collapse-arrested modulational instabilities in a self-defocussing medium.

5 pages, 5 figures

References in corpus (14)

• Cooperative atom-light interaction in a blockaded Rydberg ensemble
• Long-range interactions and entanglement of slow single-photon pulses
• Giant electro-optic effect using polarizable dark states
• Nonlocal stabilization of nonlinear beams in a self-focusing atomic vapor
• Rydberg-induced Solitons: Three-dimensional Self-trapping of Matter Waves
• Cross-Kerr nonlinearity between continuous-mode coherent states and single photons
• Many-body Physics with Alkaline-Earth Rydberg lattices
• Electromagnetically Induced Transparency in strongly interacting Rydberg Gases
• Strongly interacting photons in hollow-core waveguides
• Three-dimensional spatiotemporal optical solitons in nonlocal nonlinear media
• Modeling many-particle mechanical effects of an interacting Rydberg gas
• Spectroscopy of strontium Rydberg states using electromagnetically induced transparency
• Optical non-linearity in a dynamical Rydberg gas
• Collective photon emission from symmetric states created with Rydberg atoms on a ring lattice

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• All-optical quantum information processing using Rydberg gates
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• Many-body physics of Rydberg dark-state polaritons in the strongly interacting regime
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