Anomalous Random Multipolar Driven Insulators

• URL: http://arxiv.org/abs/2201.05406v3
• Date: Tue, 14 Jun 2022 07:39:22 GMT
• Title: Anomalous Random Multipolar Driven Insulators
• Authors: Hongzheng Zhao, Mark S. Rudner, Roderich Moessner and Johannes Knolle
• Abstract summary: We show that even in the absence of time translation symmetry, nonequilibrium topological phases of matter can exist in aperiodically driven systems. We first demonstrate the existence of longlived prethermal Anderson localization in two dimensions under random multipolar driving.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: It is by now well established that periodically driven quantum many-body systems can realize topological nonequilibrium phases without any equilibrium counterpart. Here we show that, even in the absence of time translation symmetry, nonequilibrium topological phases of matter can exist in aperiodically driven systems for tunably parametrically long prethermal lifetimes. As a prerequisite, we first demonstrate the existence of longlived prethermal Anderson localization in two dimensions under random multipolar driving. We then show that the localization may be topologically nontrivial with a quantized bulk orbital magnetization even though there are no well-defined Floquet operators. We further confirm the existence of this anomalous random multipolar driven insulator by detecting quantized charge pumping at the boundaries, which renders it experimentally observable.

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