Quantum theory of Kerr nonlinearity with Rydberg slow light polaritons

Abstract

We study the propagation of Rydberg slow light polaritons through an atomic medium for intermediate interactions. Then, the dispersion relation for the polaritons is well described by the slow light velocity alone, which allows for an analytical solution for arbitrary shape of the atomic cloud. We demonstrate the connection of Rydberg polaritons to the behavior of a conventional Kerr nonlinearity for weak interactions, and determine the leading quantum corrections for increasing interactions. We propose an experimental setup which allows one to measure the effective two-body interaction potential between slow light polaritons as well as higher body interactions.

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Cited by in corpus (16)

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• Giant Kerr nonlinearities and magneto-optical rotations in a Rydberg-atom gas via double electromagnetically induced transparency
• Quantum vortices of strongly interacting photons
• Induced cavities for photonic quantum gates
• Photon propagation through dissipative Rydberg media at large input rates
• Two-photon self-Kerr nonlinearities for quantum computing and quantum optics
• Self-organized structures of two-component laser fields and their active controls in a cold Rydberg atomic gas
• Nonlinear quantum logic with colliding graphene plasmons
• Two-Color Optical Nonlinearity in an Ultracold Rydberg Atom Gas Mixture
• Two photon conditional phase gate based on Rydberg slow light polaritons
• Few-body quantum physics with strongly interacting Rydberg polaritons
• Nonlinear effects on the dynamics of quantum harmonic modes coupled through angular momentum
• Exotic photonic molecules via Lennard-Jones-like potentials
• Resonant enhancement of three-body loss between strongly interacting photons
• A comparative study of focusing with scalar and vector beams in an active Raman gain system