PT-symmetric ladders with a scattering core

J. D'Ambroise; S. Lepri; B. A. Malomed; P. G. Kevrekidis

doi:10.1016/j.physleta.2014.07.037

PT-symmetric ladders with a scattering core

J. D'Ambroise^*, S. Lepri, B. A. Malomed, P. G. Kevrekidis

^*Corresponding author for this work

School of Electrical Engineering

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

7 Scopus citations

Abstract

We consider a PT-symmetric chain (ladder-shaped) system governed by the discrete nonlinear Schrödinger equation where the cubic nonlinearity is carried solely by two central "rungs" of the ladder. Two branches of scattering solutions for incident plane waves are found. We systematically construct these solutions, analyze their stability, and discuss non-reciprocity of the transmission associated with them. To relate the results to finite-size wavepacket dynamics, we also perform direct simulations of the evolution of the wavepackets, which confirm that the transmission is indeed asymmetric in this nonlinear system with the mutually balanced gain and loss.

Original language	English
Pages (from-to)	2824-2830
Number of pages	7
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	378
Issue number	38-39
DOIs	https://doi.org/10.1016/j.physleta.2014.07.037
State	Published - 1 Aug 2014

Keywords

Cubic nonlinearity
Discrete nonlinear Schrödinger equation
PT-symmetry

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10.1016/j.physleta.2014.07.037

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title = "PT-symmetric ladders with a scattering core",

abstract = "We consider a PT-symmetric chain (ladder-shaped) system governed by the discrete nonlinear Schr{\"o}dinger equation where the cubic nonlinearity is carried solely by two central {"}rungs{"} of the ladder. Two branches of scattering solutions for incident plane waves are found. We systematically construct these solutions, analyze their stability, and discuss non-reciprocity of the transmission associated with them. To relate the results to finite-size wavepacket dynamics, we also perform direct simulations of the evolution of the wavepackets, which confirm that the transmission is indeed asymmetric in this nonlinear system with the mutually balanced gain and loss.",

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T1 - PT-symmetric ladders with a scattering core

AU - D'Ambroise, J.

AU - Lepri, S.

AU - Malomed, B. A.

AU - Kevrekidis, P. G.

PY - 2014/8/1

Y1 - 2014/8/1

N2 - We consider a PT-symmetric chain (ladder-shaped) system governed by the discrete nonlinear Schrödinger equation where the cubic nonlinearity is carried solely by two central "rungs" of the ladder. Two branches of scattering solutions for incident plane waves are found. We systematically construct these solutions, analyze their stability, and discuss non-reciprocity of the transmission associated with them. To relate the results to finite-size wavepacket dynamics, we also perform direct simulations of the evolution of the wavepackets, which confirm that the transmission is indeed asymmetric in this nonlinear system with the mutually balanced gain and loss.

AB - We consider a PT-symmetric chain (ladder-shaped) system governed by the discrete nonlinear Schrödinger equation where the cubic nonlinearity is carried solely by two central "rungs" of the ladder. Two branches of scattering solutions for incident plane waves are found. We systematically construct these solutions, analyze their stability, and discuss non-reciprocity of the transmission associated with them. To relate the results to finite-size wavepacket dynamics, we also perform direct simulations of the evolution of the wavepackets, which confirm that the transmission is indeed asymmetric in this nonlinear system with the mutually balanced gain and loss.

KW - Cubic nonlinearity

KW - Discrete nonlinear Schrödinger equation

KW - PT-symmetry

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 38-39

ER -

PT-symmetric ladders with a scattering core

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Keywords

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