Duality between Generalized Non-Hermitian HN Model in Flat Space and Hermitian System in Curved space
Mesoscale and Nanoscale Physics
2022-08-08 v2
Abstract
Non-Hermitian systems in condensed matter Physics are well studied in recent years. In conventional viewpoint, the non-Hermiticity of a Hamiltonian is obtained by dissipative or gain and loss. Recently, some people investigate the non-Hermiticity from other perspective, which point out that non-Hermiticity may come from the curved space. In this letter, we derive a duality between a generalized non-Hermitian HN model in -dimensional flat space and a Hermitian system in -dimensional curved space, and give the metric of the curved space analytically. From this duality, we establish a correspondence between Hermitian and non-Hermitian systems, which gives a new perspective to explore non-Hermitian systems.
Cite
@article{arxiv.2108.08146,
title = {Duality between Generalized Non-Hermitian HN Model in Flat Space and Hermitian System in Curved space},
author = {Shu-Xuan Wang and Shaolong Wan},
journal= {arXiv preprint arXiv:2108.08146},
year = {2022}
}