arXiv · 2209.15204
Quantum quenches in a pseudo-Hermitian Chern insulator
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.
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Peng He, Yan-Qing Zhu, Jian-Te Wang, Shi-Liang Zhu. 2022-09-30. Quantum quenches in a pseudo-Hermitian Chern insulator. https://doi.org/10.1103/physreva.107.012219
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