Unidirectional soliton flows in $\mathcal{PT}$-symmetric potentials

Unidirectional soliton flows in $PT$ -symmetric potentials

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

Phys. Rev. A 88, 023830 – Published 19 August 2013

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.

Received 30 May 2013

DOI:https://doi.org/10.1103/PhysRevA.88.023830

Authors & Affiliations

U. Al Khawaja¹, S. M. Al-Marzoug^2,3, H. Bahlouli^2,3, and Yuri S. Kivshar⁴

¹Physics Department, United Arab Emirates University, P. O. Box 15551, Al-Ain, United Arab Emirates
²Physics Department, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
³Saudi Center for Theoretical Physics, Dhahran 31261, Saudi Arabia
⁴Nonlinear Physics Center, Research School of Physics and Engineering, Australian National University, Canberra ACT 0200, Australia

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Vol. 88, Iss. 2 — August 2013

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Physical Review A

covering atomic, molecular, and optical physics and quantum information

Unidirectional soliton flows in $PT$ -symmetric potentials

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

Phys. Rev. A 88, 023830 – Published 19 August 2013

Abstract

Authors & Affiliations

Article Text (Subscription Required)

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Physical Review A

covering atomic, molecular, and optical physics and quantum information

Unidirectional soliton flows in PT-symmetric potentials

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

Phys. Rev. A 88, 023830 – Published 19 August 2013

Abstract

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Unidirectional soliton flows in $PT$ -symmetric potentials