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 …

The notion of non-Hermitian optics and photonics rooted in quantum mechanics and
photonic systems has recently attracted considerable attention ushering in tremendous …

Non-Hermiticity enriches topological phases beyond the existing Hermitian framework.
Whereas their unusual features with no Hermitian counterparts were extensively explored, a …

Classical spin liquids (CSL) lack long-range magnetic order and are characterized by an
extensive ground-state degeneracy. We propose a classification scheme of CSLs based on …

The hallmark of highly frustrated systems is the presence of many states close in energy to
the ground state. Fluctuations between these states can preclude the emergence of any form …

Majorana edge modes are candidate elements of topological quantum computing. In this
paper, we propose a Floquet engineering approach to generate multiple non-Hermitian …

We proposed a framework for the topological characterization of non-Hermitian band
structures. Different from previous K-theoretical approaches, our approach is homotopical …

In quantum mechanics, supersymmetry (SUSY) posits an equivalence between two
elementary degrees of freedom, bosons, and fermions defined by local rules. Here we apply …

In quantum mechanics, supersymmetry (SUSY) posits an equivalence between two
elementary degrees of freedom, bosons and fermions. Here we show how this fundamental …

Geometric compatibility constraints dictate the mechanical response of soft systems that can
be utilized for the design of mechanical metamaterials such as the negative Poisson's ratio …