Noise resilience of two-dimensional Floquet topological phases

• URL: http://arxiv.org/abs/2509.03296v1
• Date: Wed, 03 Sep 2025 13:23:50 GMT
• Title: Noise resilience of two-dimensional Floquet topological phases
• Authors: Balaganchi A. Bhargava, Sanjib Kumar Das, Lukas M. Sieberer, Ion Cosma Fulga,
• Abstract summary: Noise-induced decay of initially populated topological edge modes occurs in two stages.<n> localized modes in the bulk exhibit faster decay, corresponding to two-dimensional diffusion.<n>Our findings indicate that two-dimensional Floquet topological phases are ideal candidates for potential applications of Floquet topology.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study the effect of noise on two-dimensional periodically driven topological phases, focusing on two examples: the anomalous Floquet-Anderson phase and the disordered Floquet-Chern phase. Both phases show an unexpected robustness against timing noise. The noise-induced decay of initially populated topological edge modes occurs in two stages: At short times, thermalization among edge modes leads to exponential decay. This is followed by slow algebraic decay $\sim n^{-1/2}$ with the number of Floquet cycles $n$. The exponent of $1/2$ is characteristic for one-dimensional diffusion, here occurring along the direction perpendicular to the edge. In contrast, localized modes in the bulk exhibit faster decay, $\sim n^{-1}$, corresponding to two-dimensional diffusion. We demonstrate these behaviors through full-scale numerical simulations and support our conclusions using analytical results based upon a phenomenological model. Our findings indicate that two-dimensional Floquet topological phases are ideal candidates for potential applications of Floquet topology, given the unavoidable presence of both quenched disorder and decoherence in experiments.

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