Engineering Dissipative Quasicrystals

• URL: http://arxiv.org/abs/2111.14436v2
• Date: Tue, 7 Dec 2021 11:55:59 GMT
• Title: Engineering Dissipative Quasicrystals
• Authors: Tianyu Li, Yong-Sheng Zhang, and Wei Yi
• Abstract summary: We discuss the systematic engineering of quasicrystals in open quantum systems where quasiperiodicity is introduced through purely dissipative processes. Our work suggests a systematic route toward engineering exotic quantum dynamics in open systems, based on insights of non-Hermitian physics.
• Score: 7.182858821473896
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We discuss the systematic engineering of quasicrystals in open quantum systems where quasiperiodicity is introduced through purely dissipative processes. While the resulting short-time dynamics is governed by non-Hermitian variants of the Aubry-Andre-Harper model, we demonstrate how phases and phase transitions pertaining to the non-Hermitian quasicrystals fundamentally change the long-time, steady-state-approaching dynamics under the Lindblad master equation. Our schemes are based on an exact mapping between the eigenspectrum of the Liouvillian superoperator with that of the non-Hermitian Hamiltonian, under the condition of quadratic fermionic systems subject to linear dissipation. Our work suggests a systematic route toward engineering exotic quantum dynamics in open systems, based on insights of non-Hermitian physics.

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