Physics

Geology

Complex plane

Work (physics)

Mathematics

Evolutionary biology

Biology

Hermitian matrix

Statistical physics

Distribution (mathematics)

Mathematical analysis

Function (biology)

Plane (geometry)

Paleontology

Eigenvalues and eigenvectors

Geometry

Condensed matter physics

Context (archaeology)

Quantum mechanics

Physical review. B./Physical review. B

In this paper, we study the properties of two-dimensional lattices in the presence of non-Hermitian disorder. In the context of coupled mode theory, we consider random gain-loss distributions on every waveguide channel (on site disorder). Our work provides a systematic study of the interplay between disorder and non-Hermiticity. In particular, we study the eigenspectrum in the complex frequency plane and we examine the localization properties of the eigenstates, either by the participation ratio or the level spacing, defined in the complex plane. A modified level distribution function vs disorder seems to fit our computational results.

Non-Hermitian disorder in two-dimensional optical lattices