Optical analogue of relativistic Dirac solitons in binary waveguide arrays

Truong X Tran, Stefano Longhi, Fabio Biancalana

Research output: Contribution to journalArticle

38 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)179-187
Number of pages9
JournalAnnals of Physics
Volume340
Issue number1
DOIs
Publication statusPublished - Jan 2014

Keywords

  • Binary waveguide array
  • Kerr nonlinearity
  • Dirac equation
  • Dirac soliton
  • Quantum nonlinear effect
  • DISCRETE GAP SOLITONS
  • BLOCH OSCILLATIONS
  • EQUATION
  • GENERATION
  • SYMMETRIES
  • STABILITY
  • MODEL

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