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Communications in Theoretical Physics

Enhanced Kerr Nonlinearities Caused by Cross Talk Between Optical and Microwave Transitions

Zhengfeng Hu, Jianliao Deng, Chunguang Du, Yuzhu Wang

Published Oct 1, 2008• 1 citation
Publisher

Abstract

We investigate the enhanced Kerr nonlinearities in four-level atomic vapors driven by a coupling, probe and microwave fields. Under the optical one-photon and two-photon resonant conditions, the linear and nonlinear responses of the weak probe field can be modified by the cross talk among optical and microwave transitions. The enhanced Kerr nonlinearity can form bright optical solitons of the probe field.

DOI
10.1088/0253-6102/50/4/34

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We investigate the enhanced Kerr nonlinearities in four-level atomic vapors driven by a coupling, probe and microwave fields. Under the optical one-photon and two-photon resonant conditions, the linear and nonlinear responses of the weak probe field can be modified by the cross talk among optical and microwave transitions. The enhanced Kerr nonlinearity can form bright optical solitons of the probe field.
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We derive an effective cross-Kerr Hamiltonian for the four-level atom interacting with three electromagnetic fields in the NNN configuration. When the atom has relaxed into the ground state, a cross-Kerr nonlinearity arises between two weak probe fields. As a development on earlier work, we derive the form of the atom-field interaction for all detunings and include the spontaneous decay of the upper atomic levels. In general, the atom will also display a linear and self-Kerr response, but if certain resonance conditions are satisfied then only the cross-Kerr interaction will remain. We consider the application of our theory to cold four-level rubidium atoms. The electrical susceptibilities of the probe transitions are explored, and it is shown that a large, pure cross-Kerr nonlinearity can be generated with vanishing absorption of both probe fields.
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