Linear and nonlinear photonic Jackiw-Rebbi states in interfaced binary waveguide arrays

Truong X. Tran and Fabio Biancalana
Phys. Rev. A 96, 013831 – Published 17 July 2017

Abstract

We study analytically and numerically the optical analog of the Jackiw-Rebbi states in quantum-field theory. These solutions exist at the interface of two binary waveguide arrays, which are described by two Dirac equations with masses of opposite sign. We show that these special states are topologically robust not only in the linear regime, but also in the nonlinear one (with both focusing and defocusing nonlinearities). We also reveal that one can effectively generate Jackiw-Rebbi states starting from Dirac solitons.

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  • Received 22 February 2017

DOI:https://doi.org/10.1103/PhysRevA.96.013831

©2017 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Nonlinear DynamicsAtomic, Molecular & Optical

Authors & Affiliations

Truong X. Tran1 and Fabio Biancalana2

  • 1Department of Physics, Le Quy Don University, 236 Hoang Quoc Viet Street, 10000 Hanoi, Vietnam
  • 2School of Engineering and Physical Sciences, Heriot-Watt University, EH14 4AS Edinburgh, United Kingdom

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Issue

Vol. 96, Iss. 1 — July 2017

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