量子动力学时空标度极限中的拓扑
Topology in the space-time scaling limit of quantum dynamics
AI总结：
本研究探究量子猝灭动力学时空标度极限下的拓扑效应，提出基于动力学缠绕数的拓扑表征，发现贝里相的阶梯行为可揭示局域不可见磁通量，并给出有限系统的实验观测方案。
摘要：
我们研究了拓扑在量子猝灭动力学时空标度极限中的作用，该极限下时间和系统尺寸以恒定比值同时趋于无穷大。在该情形下，虽然依赖局域幺正变换的标准拓扑表征变得定义不明，但我们展示了一种不同的动力学拓扑概念如何通过编码贝里相对磁通量线性响应的动力学缠绕数自然涌现。具体而言，我们发现局域不可见的恒定磁通量的存在可通过贝里相的动力学阶梯行为揭示，其拓扑量子化的平台表征了猝灭后Rice-Mele模型的时空标度极限。我们还证明贝里相的这些跃变与直流电流算符的带间矩阵元相关。我们概述了在有限系统中观测该预测现象的可能实验平台。
英文摘要：
We investigate the role of topology in the space-time scaling limit of quantum quench dynamics, where both time and system size tend to infinity at a constant ratio. There, while the standard topological characterization relying on local unitary transformations becomes ill defined, we show how a different dynamical notion of topology naturally arises through a dynamical winding number encoding the linear response of the Berry phase to a magnetic flux. Specifically, we find that the presence of a locally invisible constant magnetic flux is revealed by a dynamical staircase behavior of the Berry phase, whose topologically quantized plateaus characterize the space-time scaling limit of a quenched Rice-Mele model. These jumps in the Berry phase are also shown to be related to the interband elements of the DC current operator. We outline possible experimental platforms for observing the predicted phenomena in finite systems.
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