标题： 具有时间噪声的量化弗洛凯拓扑 显示英文标题

标题： Quantized Floquet topology with temporal noise

摘要： 时间周期（Floquet）驱动是一种强大的方法，用于设计物质的量子相，包括静态哈密顿量系统中不可能出现的根本非平衡状态。 一个典型例子是异常的Floquet绝缘体，它表现出类似于陈绝缘体的拓扑量化手性边缘态，但又易于体局域化。 我们研究了这种拓istical系统对时间依赖噪声的响应，这会破坏拓扑保护的Floquet对称性。 令人惊讶的是，我们发现由部分填充费米子系统并测量每个循环中泵浦的电荷所给出的量化响应，在有限噪声幅度下仍然保持量化。 我们将这种鲁棒的拓扑性归因于扩散和边缘态衰减的泡利阻塞之间的相互作用，我们认为这应该对相互作用具有鲁棒性。 我们通过水平统计数值确定了具有空间无序系统的拓扑相的边界，并通过分析性的Floquet超算符方法在无序消失的极限下验证了我们的结果。 这种方法暗示了对系统状态的一种非厄米Floquet拓扑相的解释。 我们评论了在没有Floquet对称性的情况下其他拓扑响应的量化以及潜在的实验实现。 显示英文摘要

摘要： Time-periodic (Floquet) drive is a powerful method to engineer quantum phases of matter, including fundamentally non-equilibrium states that are impossible in static Hamiltonian systems. One characteristic example is the anomalous Floquet insulator, which exhibits topologically quantized chiral edge states similar to a Chern insulator, yet is amenable to bulk localization. We study the response of this topological system to time-dependent noise, which breaks the topologically protecting Floquet symmetry. Surprisingly, we find that the quantized response, given by partially filling the fermionic system and measuring charge pumped per cycle, remains quantized up to finite noise amplitude. We trace this robust topology to an interplay between diffusion and Pauli blocking of edge state decay, which we expect should be robust against interactions. We determine the boundaries of the topological phase for a system with spatial disorder numerically through level statistics, and corroborate our results in the limit of vanishing disorder through an analytical Floquet superoperator approach. This approach suggests an interpretation of the state of the system as a non-Hermitian Floquet topological phase. We comment on quantization of other topological responses in the absence of Floquet symmetry and potential experimental realizations.