Nonlinear non-Hermitian skin effect
From MaRDI portal
Publication:6370951
DOI10.1016/J.PHYSLETA.2021.127484arXiv2106.11748MaRDI QIDQ6370951
Publication date: 8 June 2021
Abstract: Distant boundaries in linear non-Hermitian lattices can dramatically change energy eigenvalues and corresponding eigenstates in a nonlocal way. This effect is known as non-Hermitian skin effect (NHSE). Combining non-Hermitian skin effect with nonlinear effects can give rise to a host of novel phenomenas, which may be used for nonlinear structure designs. Here we study nonlinear non-Hermitian skin effect and explore nonlocal and substantial effects of edges on stationary nonlinear solutions. We show that fractal and continuum bands arise in a long lattice governed by a nonreciprocal discrete nonlinear Schrodinger equation. We show that stationary solutions are localized at the edge in the continuum band. We consider a non-Hermitian Ablowitz-Ladik model and show that nonlinear exceptional point disappears if the lattice is infinitely long.
This page was built for publication: Nonlinear non-Hermitian skin effect
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6370951)
