准粒子图像及其局部猝灭后的崩溃：互信息、负性和反射熵
The quasi-particle picture and its breakdown after local quenches: mutual information, negativity, and reflected entropy
摘要：
我们研究了局域算符激发基态后的（Rényi）互信息、对数负性和（Rényi）反射熵的动力学性质。结合参考文献[1]的最新结果，我们能够推测出真空以上激发态中出现的三个量之间的紧密结构，包括局部和全局量子猝灭。这种结构密切依赖于理论的混沌性，即存在可积和混沌理论的不同等价集。对于有理共形场论（RCFT），我们找到所有的量来计算插入的主算子的量子维数。与此相反，我们发现的相关措施增长（数学）没有约束的所有$c > 1$共形场论与有限的扭曲间隙。通过对两类理论计算结果的比较，我们能够确定二维共形场论中准粒子图像破裂的动力学机制。有趣的是，我们还发现初步证据表明，我们的一般经验教训适用于量子系统相当不同的共形场论，如可积和混沌自旋链，这表明在非平衡系统中的纠缠动力学的普遍性。
英文摘要：
We study the dynamics of (Rényi) mutual information, logarithmic negativity, and (Rényi) reflected entropy after exciting the ground state by a local operator. Together with recent results from Ref. [1], we are able to conjecture a close-knit structure between the three quantities that emerges in states excited above the vacuum, including both local and global quantum quenches. This structure intimately depends on the chaoticity of the theory i.e. there exist distinct sets of equivalences for integrable and chaotic theories. For rational conformal field theories (RCFT), we find all quantities to compute the quantum dimension of the primary operator inserted. In contrast, we find the correlation measures to grow (logarithmically) without bound in all $c > 1$ conformal field theories with a finite twist gap. In comparing the calculations in the two classes of theories, we are able to identify the dynamical mechanism for the breakdown of the quasi-particle picture in 2D conformal field theories. Intriguingly, we also find preliminary evidence that our general lessons apply to quantum systems considerably distinct from conformal field theories, such as integrable and chaotic spin chains, suggesting a universality of entanglement dynamics in non-equilibrium systems.
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