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arXiv · 2111.14436

Engineering Dissipative Quasicrystals

Tianyu Li·Yong-Sheng Zhang·Wei Yi
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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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Tianyu Li, Yong-Sheng Zhang, Wei Yi. 2021-11-29. Engineering Dissipative Quasicrystals. https://doi.org/10.1103/physrevb.105.125111

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