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arXiv:quant-ph/0602029 · Physical Review Letters

Large Cross-Phase Modulation between Slow Copropagating Weak Pulses in Rb87

Zeng-Bin Wang, Karl-Peter Marzlin, Barry C. Sanders

Published Aug 9, 2006• 155 citations
arXivHTMLPDF

Abstract

We propose a scheme to generate double electromagnetically induced transparency and optimal cross-phase modulation for two slow, copropagating pulses with matched group velocities in a single species of atom, namely 87Rb. A single pump laser is employed and a homogeneous magnetic field is utilized to avoid cancellation effects through the nonlinear Zeeman effect. We suggest a feasible preparational procedure for the atomic initial state to achieve matched group velocities for both signal fields.

DOI
10.1103/physrevlett.97.063901

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We propose a scheme to generate double electromagnetically induced transparency and optimal cross-phase modulation for two slow, copropagating pulses with matched group velocities in a single species of atom, namely 87Rb. A single pump laser is employed and a homogeneous magnetic field is utilized to avoid cancellation effects through the nonlinear Zeeman effect. We suggest a feasible preparational procedure for the atomic initial state to achieve matched group velocities for both signal fields.
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We propose a simple scheme for highly efficient nonlinear interaction between two weak optical fields. The scheme is based on the attainment of electromagnetically induced transparency simultaneously for both fields via transitions between magnetically split F=1F=1F=1 atomic sublevels, in the presence of two driving fields. Thereby, equal slow group velocities and symmetric cross coupling of the weak fields over long distances are achieved. By simply tuning the fields, this scheme can either yield giant cross-phase modulation or ultrasensitive two-photon switching.
We propose a simple scheme for highly efficient nonlinear interaction between two weak optical fields. The scheme is based on the attainment of electromagnetically induced transparency simultaneously for both fields via transitions between magnetically split F=1 atomic sublevels, in the presence of a single driving field. Thereby, equal slow group velocities and cross-coupling of the weak fields over long distances are achieved. Depending on the choice of parameters, this scheme can either yield giant cross-phase modulation or ultrasensitive two-photon switching, which can be used to fully entangle the two fields.
We present a scheme to realize a large cross-phase-modulation between two slow optical pulses by using the atomic configurations of coupled double dark resonances. In this scheme slow group velocities for these optical pulses can be automatically equalized in terms of the inherent symmetric atomic configuration, and the various absorptions can be overcome by using three-photon hyper-Raman amplification. Additionally, the switching between cross-type nonlinear amplification and absorption could be realized by just changing the sign of the difference between two pump detunings. This is useful for the implementations of all-optical switches. The linearity and cross nonlinearity in the Doppler-broadened medium with different laser propagating configurations have also been investigated.
Abstract We propose two alternative scheme for highly efficient nonlinear interaction between weak optical fields. The first scheme is based on the attainment of electromagnetically induced transparency simultaneously for two fields via transitions between magnetically split F = 1 atomic sublevels, in the presence of two driving fields. The second scheme relies on simultaneous electromagnetically‐ and self‐induced transparencies of the two fields. Thereby, equal slow group velocities and giant cross‐phase modulation of the weak fields over long distances are achieved.