非拓扑态量子化霍尔响应的动力学建立
Dynamical Buildup of a Quantized Hall Response from Non-Topological States
摘要：
我们考虑一个二维系统初始化在一个拓扑平凡的状态之前，它的哈密顿量是斜坡通过相变到陈氏绝缘体制度。这种情况的动机是目前的实验与超冷原子气体，旨在实现拓扑绝缘体的时间相关的动力学。我们的主要发现有两个方面。首先，考虑相干动力学，非平衡霍尔响应被发现接近拓扑量化的时间平均值的限制缓慢，但非绝热参数斜坡，即使陈数的状态仍然微不足道。第二，加入退相，量子相干性的破坏被发现稳定这个霍尔响应，而陈数一般变得不确定。我们提供了一个几何图片，这种现象的依赖于时间的Berry曲率。
英文摘要：
We consider a two-dimensional system initialized in a topologically trivial state before its Hamiltonian is ramped through a phase transition into a Chern insulator regime. This scenario is motivated by current experiments with ultracold atomic gases aimed at realizing time-dependent dynamics in topological insulators. Our main findings are twofold. First, considering coherent dynamics, the non-equilibrium Hall response is found to approach a topologically quantized time averaged value in the limit of slow but non-adiabatic parameter ramps, even though the Chern number of the state remains trivial. Second, adding dephasing, the destruction of quantum coherence is found to stabilize this Hall response, while the Chern number generically becomes undefined. We provide a geometric picture of this phenomenology in terms of the time-dependent Berry curvature.
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