论文标题

淬灭的拓扑边界模式可以在琐碎的系统中持续存在

Quenched topological boundary modes can persist in a trivial system

论文作者

Lee, Ching Hua, Song, Justin C. W.

论文摘要

拓扑边界模式可能发生在拓扑和间隙琐碎阶段之间的空间界面上,并表现出波功能在间隙中呈指数衰减的波函数。在这里,我们认为,这种直觉失败了,因为具有拓扑边界特征状态的前后拓扑阶段和Quapped的小琐事阶段,该阶段在其间隙中没有任何特征性态。特别是,我们发现,在拓扑非平凡的系统中制备的状态(例如概率密度)的特征在将其淬灭后可以持续很长时间。在这个近乎固定的窗口之后,拓扑边界模式剖面剖面剖面,尽管以幂律的方式缓慢。这种行为突出了非平衡方案的异常特征,从而使淬灭可以扩展和控制拓扑和非血统起源的局部状态。

Topological boundary modes can occur at the spatial interface between a topological and gapped trivial phase and exhibit a wavefunction that exponentially decays in the gap. Here we argue that this intuition fails for a temporal boundary between a prequench topological phase that possess topological boundary eigenstates and a postquench gapped trivial phase that does not possess any eigenstates in its gap. In particular, we find that characteristics of states (e.g. probability density) prepared in a topologically non-trivial system can persist long after it is quenched into a gapped trivial phase with spatial profiles that appear frozen over long times postquench. After this near-stationary window, topological boundary mode profiles decay albeit, slowly in a power-law fashion. This behavior highlights the unusual features of nonequilibrium protocols enabling quenches to extend and control localized states of both topological and non-topological origins.

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