Topological states of non-Hermitian systems

• Main Authors: Alvarez, V. M. Martinez, Vargas, J. E. Barrios, Berdakin, M, Torres, L. E. F. Foa
• Format: Journal Article
• Language: English
• Published: 21-05-2018
• Subjects: Physics - Mesoscale and Nanoscale Physics; Physics - Quantum Physics
• DOI: 10.48550/arxiv.1805.08200

Eur. Phys. J. Special Topics 227, 1295 (2018) Recently, the search for topological states of matter has turned to
non-Hermitian systems, which exhibit a rich variety of unique properties
without Hermitian counterparts. Lattices modeled through non-Hermitian
Hamiltonians appear in the context of photonic systems, where one needs to
account for gain and loss, circuits of resonators, and also when modeling the
lifetime due to interactions in condensed matter systems. Here we provide a
brief overview of this rapidly growing subject, the search for topological
states and a bulk-boundary correspondence in non-Hermitian systems.