Exploring dynamical stability of one-dimensional non-Hermitian classical systems

This work targets architectured structures, or metamaterials, the underlying couplings of which are created by active external forces. Such metamaterials are usually used to mimic quantum condensed matter systems that interact with the environment, and are mathematically described by non-Hermitian Bloch Hamiltonians. Non-Hermitian systems are being extensively researched both in the quantum and the classical realms, focusing mainly on their topological nature and bulk-boundary-related effects. However, less attention is devoted to their dynamical stability properties, which are crucial for implementation. Here, the stability of a simple, yet fundamental non-Hermitian system, is explored.