Cross-Kerr interaction in a four-level atomic system

Details Cross-Kerr interaction in a four-level atomic system Cross-Kerr interaction in a four-level atomic system

2007-05-14

arxiv.org/abs/0705.1941v2

Physics

Quantum Physics

5 pages, resubmitted to Physical Review A with clarified style and correction to Fig 1

Scientific paper

10.1103/PhysRevA.76.033803

We derive the form of the cross-Kerr interaction in a four-level atomic system in the N-configuration. We use time-independent perturbation theory to calculate the eigenenergies and eigenstates of the Schrodinger equation for the system. The system is considered as a perturbation of a Raman resonant three-level lambda scheme for which exact solutions are known. We show that within the strong control field limit the cross-Kerr interaction can arise between two weak probe fields. The strength of this nonlinear coupling is several orders of magnitude larger than that achievable using optical fibres.

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