Quantum quenches in a pseudo-Hermitian Chern insulator

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