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Jackiw-Rebbi states in interfaced binary waveguide arrays with Kerr nonlinearity

Tran, T.X. and Nguyen, H.M. and Duong, D.C. (2019) Jackiw-Rebbi states in interfaced binary waveguide arrays with Kerr nonlinearity. Physical Review A, 100 (5): 53849. ISSN 24699926

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Abstract

We systematically investigate the optical analogs of quantum relativistic Jackiw-Rebbi states in binary waveguide arrays in the presence of the Kerr nonlinearity with both self-focusing and self-defocusing cases. The localized profiles of these nonlinear Jackiw-Rebbi states can be calculated exactly by using the shooting method. We show that these nonlinear Jackiw-Rebbi states have a very interesting feature which is totally different from all other well-known nonlinear localized structures, including optical solitons. Namely, the profiles of nonlinear Jackiw-Rebbi states with higher peak amplitudes can totally envelope those with lower peak amplitudes. We demonstrate that media with the positive nonlinear coefficient can support stable Jackiw-Rebbi states for a wide range of peak amplitudes, whereas media with the negative nonlinear coefficient are only able to support Jackiw-Rebbi states with low peak amplitudes. A general rule for the detuning of nonlinear Jackiw-Rebbi states in binary waveguide arrays is found. © 2019 American Physical Society.

Item Type: Article
Divisions: Faculties > Faculty of Physical and Chemical Engineering
Faculties > Faculty of Special Equipments
Identification Number: 10.1103/PhysRevA.100.053849
Uncontrolled Keywords: Optical Kerr effect; Quantum theory; Waveguides; Kerr nonlinearity; Localized structures; Nonlinear coefficient; Optical soliton; Peak amplitude; Self-defocusing; Shooting methods; Waveguide array; Nonlinear optics
Additional Information: Language of original document: English. All Open Access, Green.
URI: http://eprints.lqdtu.edu.vn/id/eprint/9221

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