Unidirectional soliton flows in PT-symmetric potentials

U. Al Khawaja; S. M. Al-Marzoug; H. Bahlouli; Yuri S. Kivshar

doi:10.1103/PhysRevA.88.023830

Unidirectional soliton flows in PT-symmetric potentials

U. Al Khawaja^*, S. M. Al-Marzoug, H. Bahlouli, Yuri S. Kivshar

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

39 Citations (Scopus)

Abstract

We study the soliton scattering by parity-time- (PT) symmetric potentials and demonstrate that, for a certain range of parameters, both single and multiple soliton scattering exhibit almost perfect unidirectional flow. We employ direct numerical simulations of the corresponding nonlinear Schrödinger equation combined with the analysis of the effective equations derived by the collective-coordinate approach and reveal that the physical mechanism behind this effect of the unidirectional scattering is related to the energy exchange between the soliton center of mass and its internal mode.

Original language	English
Article number	023830
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	88
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevA.88.023830
Publication status	Published - 19 Aug 2013

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10.1103/PhysRevA.88.023830

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AU - Al-Marzoug, S. M.

AU - Bahlouli, H.

AU - Kivshar, Yuri S.

PY - 2013/8/19

Y1 - 2013/8/19

N2 - We study the soliton scattering by parity-time- (PT) symmetric potentials and demonstrate that, for a certain range of parameters, both single and multiple soliton scattering exhibit almost perfect unidirectional flow. We employ direct numerical simulations of the corresponding nonlinear Schrödinger equation combined with the analysis of the effective equations derived by the collective-coordinate approach and reveal that the physical mechanism behind this effect of the unidirectional scattering is related to the energy exchange between the soliton center of mass and its internal mode.

AB - We study the soliton scattering by parity-time- (PT) symmetric potentials and demonstrate that, for a certain range of parameters, both single and multiple soliton scattering exhibit almost perfect unidirectional flow. We employ direct numerical simulations of the corresponding nonlinear Schrödinger equation combined with the analysis of the effective equations derived by the collective-coordinate approach and reveal that the physical mechanism behind this effect of the unidirectional scattering is related to the energy exchange between the soliton center of mass and its internal mode.

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Unidirectional soliton flows in PT-symmetric potentials

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