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Optical analogue of relativistic Dirac solitons in binary waveguide arrays

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Tran,  Truong X.
Biancalana Research Group, Research Groups, Max Planck Institute for the Science of Light, Max Planck Society;

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Biancalana,  Fabio
Biancalana Research Group, Research Groups, Max Planck Institute for the Science of Light, Max Planck Society;

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Citation

Tran, T. X., Longhi, S., & Biancalana, F. (2014). Optical analogue of relativistic Dirac solitons in binary waveguide arrays. ANNALS OF PHYSICS, 340(1), 179-187. doi:10.1016/j.aop.2013.10.017.


Cite as: http://hdl.handle.net/11858/00-001M-0000-002D-6693-7
Abstract
We study analytically and numerically an optical analogue of Dirac solitons in binary waveguide arrays in the presence of Kerr non-linearity. Pseudo-relativistic soliton solutions of the coupled-mode equations describing dynamics in the array are analytically derived. We demonstrate that with the found soliton solutions, the coupled mode equations can be converted into the nonlinear relativistic 1D Dirac equation. This paves the way for using binary waveguide arrays as a classical simulator of quantum nonlinear effects arising from the Dirac equation, something that is thought to be impossible to achieve in conventional (i.e. linear) quantum field theory. (C) 2013 Elsevier Inc. All rights reserved.