GP2 - Birmingham Workshop Program: Exceptionally deficient topological square-root insulators

Session Information

Location: Physics West 103 | School of Physics and Astronomy, University of Birmingham
Day: 1. Tuesday 21st April
Time: 17:00-18:00
Chairperson: N/A

Presentation Details

Presentation Type: Poster | 
Title: Exceptionally deficient topological square-root insulators
Abstract: One of the most surprising features of effectively non-Hermitian physical systems is their potential to exhibit a striking nonlinear response and fragility to small perturbations. This feature arises from spectral singularities known as exceptional points, whose realization in the spectrum typically requires fine-tuning of parameters. The design of such systems receives significant impetus from the recent conception of exceptional deficiency, in which the entire energy spectrum is composed of exceptional points.
Here, we present a concrete and transparent mechanism that enforces exceptional deficiency through lattice sum rules in non-Hermitian topological square-root insulators. We identify the resulting dynamical signatures in
static broadband amplification and non-Abelian adiabatic state amplification, differentiate between bulk and boundary effects, and
outline routes to implementation in
physical platforms.

Presenter

Mr Subhajyoti Bid
Lancaster University | United Kingdom

Authors

1. Bid, Subhajyoti | Department of Physics, Lancaster University, Lancaster, LA1 4YB, United Kingdom
2. Schomerus, Henning | Department of Physics, Lancaster University, Lancaster, LA1 4YB, United Kingdom