Nonlinear optical Galton board
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Nonlinear optical Galton board

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Nonlinear optical Galton board

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Navarrete Benlloch, Carlos; Pérez Cañellas, Armando; Roldán Serrano, Eugenio
This document is a artículoDate2007

Este documento está disponible también en : http://dx.doi.org/10.1103/PhysRevA.75.062333

Este documento está disponible también en : http://hdl.handle.net/10550/33042
We generalize the concept of optical Galton board (OGB), first proposed by Bouwmeester [Phys. Rev. A 61, 013410 (2000)], by introducing the possibility of nonlinear self-phase modulation on the wave function during the walker evolution. If the original Galton board illustrates classical diffusion, the OGB, which can be understood as a grid of Landau-Zener crossings, illustrates the influence of interference on diffusion, and is closely connected with the quantum walk. Our nonlinear generalization of the OGB shows new phenomena, the most striking of which is the formation of nondispersive pulses in the field distribution (solitonlike structures). These exhibit a variety of dynamical behaviors, including ballistic motion, dynamical localization, nonelastic collisions, and chaotic behavior, in the sense that the dynamics is very sensitive to the nonlinearity strength.

    Navarrete Benlloch, Carlos Pérez Cañellas, Armando Roldán Serrano, Eugenio 2007 Nonlinear optical Galton board Physical Review A 75 6 062333-1 062333-7
http://dx.doi.org/10.1103/PhysRevA.75.062333

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