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Related Experiment Video

Updated: Oct 5, 2025

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Quantized Floquet Topology with Temporal Noise.

Christopher I Timms¹, Lukas M Sieberer², Michael H Kolodrubetz¹

¹Department of Physics, University of Texas at Dallas, Richardson, Texas 75080, USA.

Physical Review Letters

|January 21, 2022

Summary

This study reveals that anomalous Floquet insulators maintain quantized responses despite time-dependent noise. This robust topology is due to diffusion and Pauli blocking, offering insights into nonequilibrium quantum matter.

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Area of Science:

Quantum physics
Condensed matter physics
Topological phases of matter

Background:

Time-periodic (Floquet) driving engineers quantum phases, including unique nonequilibrium states.
Anomalous Floquet insulators possess topologically quantized chiral edge states, similar to Chern insulators, but allow bulk localization.

Purpose of the Study:

Investigate the response of anomalous Floquet insulators to time-dependent noise.
Understand the robustness of topological properties under symmetry-breaking conditions.

Main Methods:

Numerical determination of topological phase boundaries using level statistics in the presence of spatial disorder.
Analytical Floquet superoperator approach for the limit of vanishing disorder.
Studying charge pumping per cycle as a measure of quantized response.

Main Results:

The quantized response of anomalous Floquet insulators remains robust up to finite noise amplitudes.
This robustness is attributed to an interplay between diffusion and Pauli blocking of edge state decay.
The system can be interpreted as a non-Hermitian Floquet topological phase.

Conclusions:

Anomalous Floquet insulators exhibit remarkable robustness against symmetry-breaking noise.
The findings suggest potential for realizing and controlling topological phenomena in driven quantum systems.
Further exploration of other topological responses and experimental realizations is warranted.