Non-Abelian effects in dissipative photonic topological lattices
Abstract
Topology is central to phenomena that arise in a variety of fields, ranging from quantum field theory to quantum information science to condensed matter physics. Recently, the study of topology has been extended to open systems, leading to a plethora of intriguing effects such as topological lasing, exceptional surfaces, as well as the non-Hermitian bulk-boundary correspondence. Here, we show that resonator networks with dissipative couplings can be governed by matrix-valued modified Wilson lines, leading to non-Abelian effects. This is in contrast to conservative Hamiltonians exhibiting non-degenerate energy levels, where the geometric properties of the Bloch eigenstates are typically characterized by scalar Berry phases. We experimentally measure geometric phases and demonstrate non-Abelian effects in a dissipatively-coupled network of time-multiplexed photonic resonators. Our results point to new ways in which the combined effect of topology and engineered dissipation can lead to non-Abelian topological phenomena.
Keywords
Cite
@article{arxiv.2212.02598,
title = {Non-Abelian effects in dissipative photonic topological lattices},
author = {Midya Parto and Christian Leefmans and James Williams and Franco Nori and Alireza Marandi},
journal= {arXiv preprint arXiv:2212.02598},
year = {2023}
}