Quasiperiodicity protects quantized transport in disordered systems without gaps

• URL: http://arxiv.org/abs/2407.07049v2
• Date: Thu, 12 Sep 2024 10:17:13 GMT
• Title: Quasiperiodicity protects quantized transport in disordered systems without gaps
• Authors: Emmanuel Gottlob, Dan S. Borgnia, Robert-Jan Slager, Ulrich Schneider,
• Abstract summary: We observe quantized currents that survive the addition of bounded local disorder in a driven Aubry-Andr'e-Harper chain. We propose a protocol, directly realizable in for instance cold atoms or photonic experiments, which leverages this stability to prepare topological many-body states with high Chern numbers.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The robustness of topological properties, such as quantized currents, generally depends on the existence of gaps surrounding the relevant energy levels or on symmetry-forbidden transitions. Here, we observe quantized currents that survive the addition of bounded local disorder beyond the closing of the relevant instantaneous energy gaps in a driven Aubry-Andr\'e-Harper chain, a prototypical model of quasiperiodic systems. We explain the robustness using a local picture in \textit{configuration-space} based on Landau-Zener transitions, which rests on the Anderson localisation of the eigenstates. Moreover, we propose a protocol, directly realizable in for instance cold atoms or photonic experiments, which leverages this stability to prepare topological many-body states with high Chern numbers and opens new experimental avenues for the study of both the integer and fractional quantum Hall effects.

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