TY - JOUR

T1 - PT-symmetric ladders with a scattering core

AU - D'Ambroise, J.

AU - Lepri, S.

AU - Malomed, B. A.

AU - Kevrekidis, P. G.

N1 - Publisher Copyright:
© 2014 Elsevier Ltd. All rights reserved.

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

UR - http://www.scopus.com/inward/record.url?scp=84908458247&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2014.07.037

DO - 10.1016/j.physleta.2014.07.037

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AN - SCOPUS:84908458247

SN - 0375-9601

VL - 378

SP - 2824

EP - 2830

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 -