Exceptional topology of non-Hermitian systems

EJ Bergholtz, JC Budich, FK Kunst - Reviews of Modern Physics, 2021 - APS
The current understanding of the role of topology in non-Hermitian (NH) systems and its far-
reaching physical consequences observable in a range of dissipative settings are reviewed …

Topological photonics

T Ozawa, HM Price, A Amo, N Goldman, M Hafezi… - Reviews of Modern …, 2019 - APS
Topological photonics is a rapidly emerging field of research in which geometrical and
topological ideas are exploited to design and control the behavior of light. Drawing …

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 …

Edge solitons in nonlinear-photonic topological insulators

D Leykam, YD Chong - Physical review letters, 2016 - APS
We show theoretically that a photonic topological insulator can support edge solitons that
are strongly self-localized and propagate unidirectionally along the lattice edge. The …

Tenfold way for quadratic lindbladians

S Lieu, M McGinley, NR Cooper - Physical Review Letters, 2020 - APS
We uncover a topological classification applicable to open fermionic systems governed by a
general class of Lindblad master equations. These “quadratic Lindbladians” can be …

Phase-dependent chiral transport and effective non-Hermitian dynamics in a bosonic Kitaev-Majorana chain

A McDonald, T Pereg-Barnea, AA Clerk - Physical Review X, 2018 - APS
We study a 1D chain of noninteracting bosonic cavities which are subject to nearest-
neighbor parametric driving, thus realizing a bosonic Hamiltonian whose form is reminiscent …

Topological zero modes and edge symmetries of metastable Markovian bosonic systems

VP Flynn, E Cobanera, L Viola - Physical Review B, 2023 - APS
Tight bosonic analogs of free-fermionic symmetry-protected topological phases, and their
associated edge-localized excitations, have long evaded the grasp of condensed-matter …

Topological quantum fluctuations and traveling wave amplifiers

V Peano, M Houde, F Marquardt, AA Clerk - Physical Review X, 2016 - APS
It is now well established that photonic systems can exhibit topological energy bands.
Similar to their electronic counterparts, this leads to the formation of chiral edge modes …

Quantum-squeezing-induced point-gap topology and skin effect

LL Wan, XY Lü - Physical Review Letters, 2023 - APS
We theoretically predict the squeezing-induced point-gap topology together with a symmetry-
protected Z 2 “skin effect” in a one-dimensional (1D) quadratic-bosonic system. Protected by …

Topological symmetry classes for non-Hermitian models and connections to the bosonic Bogoliubov–de Gennes equation

S Lieu - Physical Review B, 2018 - APS
The Bernard-LeClair (BL) symmetry classes generalize the Altland-Zirnbauer classes in the
absence of Hermiticity. Within the BL scheme, time-reversal and particle-hole symmetry …