Quantum optical non-linearities induced by Rydberg-Rydberg interactions: a perturbative approach

Abstract

In this article, we theoretically study the quantum statistical properties of the light transmitted through or reflected from an optical cavity, filled by an atomic medium with strong optical non-linearity induced by Rydberg-Rydberg van der Waals interactions. Atoms are driven on a two-photon transition from their ground state to a Rydberg level via an intermediate state by the combination of a weak signal field and a strong control beam. By using a perturbative approach, we get analytic results which remain valid in the regime of weak feeding fields, even when the intermediate state becomes resonant. Therefore they allow us to investigate quantitatively new features associated with the resonant behaviour of the system. We also propose an effective non-linear three-boson model of the system which, in addition to leading to the same analytic results as the original problem, sheds light on the physical processes at work in the system.

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Cited by in corpus (17)

• Nonlinear quantum optics mediated by Rydberg interactions
• Observation of a large, resonant, cross-Kerr nonlinearity in a free-space Rydberg medium
• Effective Field Theory for Rydberg Polaritons
• Rydberg-induced optical nonlinearities from a cold atomic ensemble trapped inside a cavity
• Giant Kerr nonlinearities and magneto-optical rotations in a Rydberg-atom gas via double electromagnetically induced transparency
• Analysis of quantum interface between Rydberg-blocked atomic ensemble and cavity optical field with two-photon transition
• Quantum theory of Kerr nonlinearity with Rydberg slow light polaritons
• Self-organized structures of two-component laser fields and their active controls in a cold Rydberg atomic gas
• Inelastic photon scattering via the intracavity Rydberg blockade
• Two-Color Optical Nonlinearity in an Ultracold Rydberg Atom Gas Mixture
• Precisely controlling the reflection phase of a photon via a strongly-coupled ancilla dressed qubit
• Generating strong anti-bunching by interfering with coherent states
• Two photon conditional phase gate based on Rydberg slow light polaritons
• Cavity polaritons with Rydberg blockade and long-range interactions
• Superglass formation in an atomic BEC with competing long-range interactions
• Variational analysis of driven-dissipative bosonic fields
• Diagrammatic treatment of few-photon scattering from a Rydberg blockaded atomic ensemble in a cavity