Unidirectional flow of symbiotic solitons and nonlinear modes of the Schrödinger equation with an external potential
Department of Mathematics, Khalifa University, PO Box 127788, Abu Dhabi, UAE
2 Center for Quantum and Topological Systems, New York University Abu Dhabi, PO Box 129188, Abu Dhabi, UAE
3 Industrial and Financial Mathematics Research Group, Institut Teknologi Bandung, Jl. Ganesha No. 10, 40132, Bandung, Indonesia
4 Centre of Mathematical Modelling and Simulation, Institut Teknologi Bandung, Jl. Ganesha No. 10, 40132, Bandung, Indonesia
5 Centre for Space and Planetary Sciences, Khalifa University, Abu Dhabi, UAE
Accepted: 30 September 2022
Published online: 17 October 2022
The dynamics of bright–bright symbiotic solitons by a reflectionless double potential barrier in the framework of coupled nonlinear Schrödinger equations (i.e. the Manakov system) is investigated. The main objective is to achieve unidirectional flow, which can be used in the design of optical diodes. In particular, we consider the case of symbiotic solitons, where inter-component interaction is attractive, while intra-component one is repulsive. We consider the dynamics of such solitons passing through an asymmetric Pöschl–Teller (PT) double potential well to achieve unidirectional flow. Polarity reversal is also observed with attractive local and nonlocal interaction. In this scenario, the diode polarity is reversed. We provide an alternative explanation of the phenomenon, where we show that after a soliton interacts with the potential, an internal mode is excited. The mode emanates from the allowed band of the system and is unstable in its entire existence region, which explains the fact that there is almost no soliton trapping in the system.
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