Quantum quenches in a pseudo-Hermitian Chern insulator

• URL: http://arxiv.org/abs/2209.15204v1
• Date: Fri, 30 Sep 2022 03:20:45 GMT
• Title: Quantum quenches in a pseudo-Hermitian Chern insulator
• Authors: Peng He, Yan-Qing Zhu, Jian-Te Wang, Shi-Liang Zhu
• Abstract summary: We show the bulk-surface duality of the pseudo-Hermitian phases, then build a concrete relation between the static band topology and quench dynamics. We propose a possible scheme to realize the seemingly challenging model in a bilayer lattice and detect the dynamics with a double-quench protocol.
• Score: 1.0093662416275693
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 post quench 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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