Non-Bloch quench dynamics

Abstract

We study the quench dynamics of non-Hermitian topological models with non-Hermitian skin effects. Adopting the non-Bloch band theory and projecting quench dynamics onto the generalized Brillouin zone, we find that emergent topological structures, in the form of dynamic skyrmions, exist in the generalized momentum-time domain, and are correlated with the non-Bloch topological invariants of the static Hamiltonians. The skyrmion structures anchor on the fixed points of dynamics whose existence is conditional on the coincidence of generalized Brillouin zones of the pre- and post-quench Hamiltonians. Global features of dynamic skyrmions, however, persist well beyond such a condition, constituting signatures for a general dynamic detection scheme of non-Bloch topology in the presence of non-Hermitian skin effects. Applying our theory to an experimentally relevant, nonunitary quantum walk, we explicitly demonstrate how the non-Bloch topological invariants can be revealed through the non-Bloch quench dynamics.