Non-Hermitian topological phases and dynamical quantum phase transitions: a generic connection

Abstract The dynamical and topological properties of non-Hermitian systems have attracted great attention in recent years. In this work, we establish an intrinsic connection between two classes intriguing phenomena—topological phases quantum phase transitions (DQPTs)—in systems. Focusing on one-dimensional models with chiral symmetry, find DQPTs following the quench from a trivial to phase. Moreover, critical momenta time are found be directly related invariants system. We further demonstrate our theory three prototypical lattice models, lossy Kitaev chain (LKC), LKC next-nearest-neighbor hoppings, nonreciprocal Su–Schrieffer–Heeger model. Finally, suggest proposal experimentally verify by nitrogen-vacancy center diamond.