从纠缠多极态中演化出的纠缠
Entanglement evolution from entangled multipodal states
AI总结：
本文研究了纠缠多极态的纠缠演化，探讨了其在平衡和非平衡状态下的纠缠特性，并通过准粒子图景解释了淬火后的动态行为。
摘要：
在周期性晶格系统中，一个纠缠反极对态，也称为交叉帽态，是一个简单的两站点积态，其中反极站点的自旋被准备成贝尔对。这些状态具有最大双分量纠缠，并且可以作为研究具有大初始纠缠系统的淬火动力学的有用平台。在本文中，我们研究了一种这些状态的推广形式，我们称之为纠缠多极态。这些状态定义于费米子系统中，通过在更多站点上引入相关性来推广交叉帽态，特别是那些位于正则多边形顶点上的站点。通过构造，这些状态是高斯且平移不变的，这使得许多性质得以理解。我们研究了这些状态在平衡和非平衡情况下的双分量纠缠熵。在平衡情况下，纠缠轮廓随子系统大小的变化表现出两个不同的区域，即体积定律增长后趋于一个常数值，从而推广了交叉帽态的Page曲线轮廓。在非平衡情况下，我们研究了从这些初始状态淬火到自由费米子链的动力学，其后续动力学比交叉帽情况复杂得多。我们将结果解释为准粒子图景，这要求非局域地激发多组准粒子。这种情形通过淬火后出现的负三体信息得到证实。
英文摘要：
In a periodic lattice system an entangled antipodal pair state, otherwise known as a crosscap state, is a simple two site product state in which spins at antipodal sites are prepared in Bell pairs. Such states have maximal bipartite entanglement and serve as a useful platform for studying the quench dynamics of systems which have large initial entanglement. In this paper, we study a generalization of these states which we dub entangled mutipodal states. These states, which are defined for fermionic systems, generalize the crosscap states by having correlations among more than two sites, specifically, those which sit at the vertices of regular polygons. By construction, the states are Gaussian and translationally invariant allowing many of their properties to be understood. We study the bipartite entanglement entropy of these states both in and out of equilibrium. In equilibrium, the entanglement profile as a function of subsystem size exhibits two distinct regimes, a volume-law growth followed by a saturation to a constant value, thus generalizing the Page-curve profile of the crosscap state. In the non-equilibrium setting, we study quenches from these initial states to the free-fermion chain, whose ensuing dynamics displays a far richer structure compared to the crosscap case. We interpret our results in terms of the quasiparticle picture, which requires multiplets of quasiparticles to be excited non-locally around the system. This scenario is confirmed by the appearance of a post-quench, negative tripartite information.
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