Solitons inPT-symmetric nonlinear lattices

2011/04/25 by F. Kh. Abdullaev, Fatkhulla Kh. Abdullaev, Yaroslav V. Kartashov +3 · 301 citations
Mathematics · Physics and Astronomy · #Dissipative system #Lattice (music) #Mathematics #Multipole expansion #Nonlinear Photonic Systems #Nonlinear system #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum mechanics #nlin.PS #physics.optics

paper · pdf · doi:10.1103/physreva.83.041805

published in Physical Review A 83(4) (American Physical Society)

openalex publication_date 2011/04/25 · arxiv created 2011/04/27 · arxiv updated 2011/04/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The existence of localized modes supported by the PT-symmetric nonlinear lattices is reported. The system considered reveals unusual properties: unlike other typical dissipative systems, it possesses families (branches) of solutions, which can be parametrized by the propagation constant; relatively narrow localized modes appear to be stable, even when the conservative nonlinear lattice potential is absent; and finally, the system supports stable multipole solutions.

Citations

• Real Spectra in Non-Hermitian Hamiltonians HavingPTSymmetry

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