Physics

Nonlinear system

Mathematics

Mathematical physics

Boundary (topology)

Hermitian matrix

Periodic boundary conditions

Skin effect

Mathematical analysis

Boundary value problem

Acoustics

Lyapunov exponent

Condensed matter physics

Lattice (music)

Bloch wave

Quantum mechanics

Physical Review Research

This paper uncovers a bulk probing method to catch physical effects hindered in topological non-Hermitian crystals. The method is based on Lyapunov exponent calculation of a quantum walker on the lattice and can reveal non-Bloch phase transitions, the non-Hermitian skin effect and breakdown of the bulk-boundary correspondence.

Probing non-Hermitian skin effect and non-Bloch phase transitions