Non-Hermitian Topological End-Mode Lasing in Polariton Systems
Abstract
We predict the existence of non-Hermitian topologically protected end states in a one-dimensional exciton-polariton condensate lattice, where topological transitions are driven by the laser pump pattern. We show that the number of end states can be described by a Chern number and a topological invariant based on the Wilson loop. We find that such transitions arise due to {\it enforced exceptional points} which can be predicted directly from the bulk Bloch wave functions. This allows us to establish a new type of bulk-boundary correspondence for non-Hermitian systems and to compute the phase diagram of an open chain analytically. Finally, we demonstrate topological lasing of a single end-mode in a realistic model of a microcavity lattice.
Keywords
Cite
@article{arxiv.1912.06431,
title = {Non-Hermitian Topological End-Mode Lasing in Polariton Systems},
author = {Paolo Comaron and Vanik Shahnazaryan and Wojciech Brzezicki and Timo Hyart and Michał Matuszewski},
journal= {arXiv preprint arXiv:1912.06431},
year = {2020}
}
Comments
Main text (6 pages) and Supplementary Material (4 pages)