PT-symmetric ladders with a scattering core

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)2824-2830
Number of pages7
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number38-39
StatePublished - 1 Aug 2014


  • Cubic nonlinearity
  • Discrete nonlinear Schrödinger equation
  • PT-symmetry


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