Quasi-Skin Modes in a Nonlinear non-Hermitian Lattice

An extensive number of eigenstates become localized at the edge of a one-dimensional linear non-Hermitian lattice due to the non-Hermitian skin effect (NHSE). A quasi-skin mode appears in the semi-infinite lattice as a result of NHSE and can almost preserve its profile up to a survival time in the finite lattices. A nonlinear extension of NHSE has recently attracted some attention. In our talk, we obtain quasi-skin modes under the semi-infinite boundary conditions and explore their survival times in the finite nonlinear lattice with open edges. We show that the survival time increases with lattice size but decreases dramatically with the disorder.