Non-Hermitian physics

• Published in: Advances in physics Vol. 69; no. 3; pp. 249 - 435
• Main Authors: Ashida, Yuto, Gong, Zongping, Ueda, Masahito
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis 02.07.2020; Taylor & Francis Ltd
• Subjects: Acoustics; bulk-edge correspondence; Critical phenomena; dissipation; edge modes; electrical circuits; Energy transfer; Linear algebra; mechanics; Non-Hermitian systems; nonreciprocal transport; nonunitary dynamics; Nuclear physics; open quantum systems; photonics; Physics; quantum many-body physics; quantum optics; quantum walk; topological invariants; Topology

A review is given on the foundations and applications of non-Hermitian classical and quantum physics. First, key theorems and central concepts in non-Hermitian linear algebra, including Jordan normal form, biorthogonality, exceptional points, pseudo-Hermiticity, and parity-time symmetry, are delinea...