Non-Hermitian topological systems and their applications for sensors

Non-Hermitian topological systems have emerged as a promising area of study within condensed matter physics, garnering substantial attention in recent years.

Their distinct characteristics, including the non-Hermitian skin effect and their potential applications in sensing technologies, have spurred a surge of interest and investigation.

This research proposal outlines a comprehensive program aimed at studying non-Hermitian systems and exploring their practical utility in the development of innovative devices.The research program is structured around two primary branches, each addressing critical aspects of non-Hermitian systems.

The first branch seeks to develop a robust theoretical tool for comprehending and predicting non-Hermitian skin effects in disordered systems, particularly in higher than one dimension. For this wave packet dynamics will be used as a method.

As part of the program, a comprehensive code package will be produced, facilitating access to these simulations for fellow scientists and researchers.The second branch of this program focuses on the theoretical development of mechanical metamaterial devices capable of studying non-Hermitian matrices.

In stark contrast to conventional approaches, where the dynamical matrix of the system is designed to be non-Hermitian the aim is to engineer systems where the response matrices to external drive exhibit non-Hermitian characteristics.

This idea builds on recent research findings where such systems have been successfully realized by us in conductance matrices. Extending this approach to mechanical metamaterials, offers a versatile and rapidly deployable platform.

Collaborative efforts with experimentalists will play a pivotal role in the actualization of these novel devices, poised to advance the frontiers of applied non-Hermitian physics.