Topological unification of time-reversal and particle-hole symmetries in non-Hermitian physics

Abstract

Topological phases of matter are determined by its symmetries and dimension. Here the authors show that in non-Hermitian systems, such as those with gain and loss, time-reversal and particle-hole symmetries are equivalent to each other, unifying otherwise distinct topological classes and leading to emergent non-Hermitian topological phases.