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Dirac solitons in square binary waveguide lattices

Tran, T.X. and Nguyen, X.N. and Biancalana, F. (2015) Dirac solitons in square binary waveguide lattices. Physical Review A - Atomic, Molecular, and Optical Physics, 91 (2): 23814. ISSN 10502947

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Abstract

We study optical analogs of two-dimensional (2D) Dirac solitons in square binary waveguide lattices with two different topologies in the presence of Kerr nonlinearity. These 2D solitons turn out to be quite robust. We demonstrate that with the found 2D solitons, the coupled mode equations governing light dynamics in square binary waveguide lattices can be converted into the nonlinear relativistic 2D Dirac equation with the four-component bispinor. This paves the way for using binary waveguide lattices as a classical simulator of quantum nonlinear effects arising from the 2D Dirac equation, something that is thought to be impossible to achieve in conventional (i.e., linear) quantum field theory. © 2015 American Physical Society.

Item Type: Article
Divisions: Faculties > Faculty of Physical and Chemical Engineering
Identification Number: 10.1103/PhysRevA.91.023814
Uncontrolled Keywords: Control nonlinearities; Lattice theory; Linear equations; Nonlinear equations; Optical lattices; Waveguides; Bispinor; Coupled mode equation; Dirac equations; Kerr nonlinearity; Nonlinear effect; Optical analog; Quantum field theory; Two Dimensional (2 D); Solitons
Additional Information: Language of original document: English.
URI: http://eprints.lqdtu.edu.vn/id/eprint/9932

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