One of the appealing features of topological systems is the presence of robust edge modes. Under a sudden quantum quench, the edge modes survive for a characteristic time that scales with the system size, during which the nontrivial topology continues to manifest in entanglement properties, even though the post-quench Hamiltonian belongs to a trivial phase. We exemplify this in the quench dynamics of a two-dimensional Haldane model with the help of one-particle entanglement spectrum and the probability density of its mid-states. We find that, beyond our knowledge in one-dimensional models, the momentum dependence of the transverse velocity plays a crucial role in the out-of-equilibrium evolution of the entanglement properties .

中文翻译：

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猝灭条件下霍尔丹模型的纠缠谱动力学*

拓扑系统的吸引力之一是鲁棒边缘模式的存在。在突然的量子猝灭下，边沿模式在一个随时间变化的特征时间内存活，该时间随系统大小而定，在此期间，即使是猝灭后的哈密顿量属于平凡相，非平凡拓扑仍会继续表现出纠缠特性。我们借助一维粒子缠结谱及其中间态的概率密度，在二维Haldane模型的猝灭动力学中对此进行了例证。我们发现，除了我们在一维模型中的知识之外，横向速度的动量依赖性在纠缠特性的非平衡演化中起着至关重要的作用。