Topological states of non-Hermitian systems

MARTINEZ ALVAREZ, V.M.; BARRIOS VARGAS, J.E.; BERDAKIN, M.; FOA TORRES, L.E.F.

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS

EDP SCIENCES S A

Año: 2018 vol. 227 p. 1295 - 1308

1951-6355

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.