Topological physics of non-Hermitian optics and photonics: a review

H Wang, X Zhang, J Hua, D Lei, M Lu, Y Chen - Journal of Optics, 2021 - iopscience.iop.org
The notion of non-Hermitian optics and photonics rooted in quantum mechanics and
photonic systems has recently attracted considerable attention ushering in tremendous …

Parity‐time symmetry in non‐Hermitian complex optical media

SK Gupta, Y Zou, XY Zhu, MH Lu, LJ Zhang… - Advanced …, 2020 - Wiley Online Library
The exploration of quantum‐inspired symmetries in optical and photonic systems has
witnessed immense research interest both fundamentally and technologically in a wide …

Symmetry and topology in non-Hermitian physics

K Kawabata, K Shiozaki, M Ueda, M Sato - Physical Review X, 2019 - APS
Non-Hermiticity enriches topological phases beyond the existing Hermitian framework.
Whereas their unusual features with no Hermitian counterparts were extensively explored, a …

Open quantum systems with local and collective incoherent processes: Efficient numerical simulations using permutational invariance

N Shammah, S Ahmed, N Lambert, S De Liberato… - Physical Review A, 2018 - APS
The permutational invariance of identical two-level systems allows for an exponential
reduction in the computational resources required to study the Lindblad dynamics of …

Anomalous helical edge states in a non-Hermitian Chern insulator

K Kawabata, K Shiozaki, M Ueda - Physical Review B, 2018 - APS
A non-Hermitian extension of a Chern insulator and its bulk-boundary correspondence are
investigated. It is shown that in addition to the robust chiral edge states that reflect the …

Parity-time-symmetric topological superconductor

K Kawabata, Y Ashida, H Katsura, M Ueda - Physical Review B, 2018 - APS
We investigate a topological superconducting wire with balanced gain and loss that is
effectively described by the non-Hermitian Kitaev/Majorana chain with parity-time symmetry …

Higher-order exceptional point in a cavity magnonics system

GQ Zhang, JQ You - Physical Review B, 2019 - APS
We propose to realize the pseudo-Hermiticity in a cavity magnonics system consisting of the
Kittel modes in two small yttrium iron garnet spheres coupled to a microwave cavity mode …

Exceptional point and cross-relaxation effect in a hybrid quantum system

GQ Zhang, Z Chen, D Xu, N Shammah, M Liao, TF Li… - PRX Quantum, 2021 - APS
Exceptional points (EPs) are exotic degeneracies of non-Hermitian systems, where the
eigenvalues and the corresponding eigenvectors simultaneously coalesce in parameter …

Non-Hermitian Hamiltonians and no-go theorems in quantum information

CY Ju, A Miranowicz, GY Chen, F Nori - Physical Review A, 2019 - APS
Recently, apparent nonphysical implications of non-Hermitian quantum mechanics (NHQM)
have been discussed in the literature. In particular, the apparent violation of the no-signaling …

Higher-order exceptional point in a pseudo-Hermitian cavity optomechanical system

W **ong, Z Li, Y Song, J Chen, GQ Zhang, M Wang - Physical Review A, 2021 - APS
Higher-order exceptional points (EPs), resulting from non-Hermitian degeneracies, have
shown greater advantages in sensitive enhancement than second-order EPs (EP2s) …