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Shell model of open-loop optical control for atomic beam focusing in momentum space

Saif Ullah, Sergey Borisenok, Yu. Rozhdestvensky

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

We propose the simple shell model to describe the focusing of cool atomic beam interacting with open-loop modulated optical field. This model can be apply to form efficient splitting effect in momentum space.

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In this paper an effective quantum particle beam-splitter in the momentum space is realized in the frame of open-loop control scheme. We demonstrate for small interaction time that the splitting effect ±40ℏk\pm40\hbar k±40ℏk with summarized relative intensity in both main components is about 50 per cent from initial intensity of the atomic beam.
The methods of mathematical control theory are widely used in the modern physics, but still they are less popular in quantum science. We will discuss the aspects of control theory, which are the most useful in applications to the real problems of quantum optics. We apply this technique to control the behavior of the two-level quantum particles (atoms) in the modulated external optical field in the frame of the so called "semi classical model", where quantum two-level atomic system (all other levels are neglected) interacts with classical electromagnetic field. In this paper we propose a simple model of feedforward (open-loop) control for the quantum particle system, which is a basement for further investigation of two-level quantum particle in the external one-dimensional optical field.
We demonstrate an efficient cross-phase modulation (XPM) based on a closed-loop double-Λ system. The property of the double-Λ medium can be controlled by changing the phases of the applied optical fields. This phase-dependent XPM scheme can achieve large phase modulations at low-light intensities without requiring cavities or tightly focusing laser beams. With this scheme, we observe a π-level phase shift with two pulses, both consisting of eight photons in cold rubidium atoms. Such a novel scheme provides a simple route to generate strong interactions between photons and may have potential applications in all-optical quantum signal processing.