Quantum quenches in a pseudo-Hermitian Chern insulator

TL;DR

This paper investigates the topological properties of a pseudo-Hermitian Chern insulator through quantum quench dynamics, establishing a link between static topology and nonequilibrium behavior, and proposing experimental realization methods.

Contribution

It introduces a novel approach to analyze pseudo-Hermitian topological phases via quench dynamics and relates static band topology to dynamical spin textures.

Findings

Bulk-surface duality of pseudo-Hermitian phases

Relation between static topology and quench dynamics

Proposal for experimental realization in bilayer lattices

Abstract

We propose to uncover the topology of a pseudo-Hermitian Chern insulator by quantum quench dynamics. The Bloch Hamiltonian of the pseudo-Hermitian Chern insulator is defined in the basis of the q-deformed Pauli matrices, which are related to the representation of the deformed algebras. We show the bulk-surface duality of the pseudo-Hermitian phases, then further build a concrete relation between the static band topology and quench dynamics, in terms of the time-averaged spin textures. The results are also generalized into a fully nonequilibrium case where the postquench evolution is governed by a Floquet pseudo-Hermitian Hamiltonian. Furthermore, we propose a possible scheme to realize the seemingly challenging model in a bilayer lattice and detect the dynamics with a double-quench protocol.