Quantum-optical nonlinearities induced by Rydberg-Rydberg interactions: A perturbative approach

Autor: Philippe Grangier, Etienne Brion, Alexei Ourjoumtsev, Imam Usmani, Rajiv Boddeda, Erwan Bimbard, Andrey Grankin
Přispěvatelé: Laboratoire Charles Fabry / Optique Quantique, Laboratoire Charles Fabry (LCF), Université Paris-Sud - Paris 11 (UP11)-Centre National de la Recherche Scientifique (CNRS)-Institut d'Optique Graduate School (IOGS)-Université Paris-Sud - Paris 11 (UP11)-Centre National de la Recherche Scientifique (CNRS)-Institut d'Optique Graduate School (IOGS), Laboratoire Aimé Cotton (LAC), Centre National de la Recherche Scientifique (CNRS)-Université Paris-Sud - Paris 11 (UP11)-École normale supérieure - Cachan (ENS Cachan)
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: Physical Review A
Physical Review A, American Physical Society, 2015, 92 (4), pp.043841. ⟨10.1103/PhysRevA.92.043841⟩
ISSN: 1050-2947
1094-1622
DOI: 10.1103/PhysRevA.92.043841⟩
Popis: 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.
Databáze: OpenAIRE