论文标题
XY旋转链中不交联块的纠缠动力学的分析结果
Analytical results for the entanglement dynamics of disjoint blocks in the XY spin chain
论文作者
论文摘要
在过去的二十年中，对淬灭后的纠缠措施动力学的研究已成为一个非常活跃的研究领域，这是由于实验技术的发展。但是，在这种情况下，仅在很少的情况下就可以使用确切的结果。在这项工作中，我们介绍了量子淬灭后XY链中两个不相交块的纠缠熵动力学的准粒子图片的证明。作为副产品，我们还证明了该模型中相互信息的准颗粒猜想。我们的计算概括了[M. Fagotti，P。Calabrese，物理。 Rev. A 78，010306（2008）]到相关矩阵为块toeplitz矩阵并依赖于比例限制中的多维固定相近似的情况。我们还针对准确的数值计算测试了准粒子预测，并找到了极好的一致性。在三个块的情况下，我们表明，当至少两个块相邻时，三方信息就会消失。
The study of the dynamics of entanglement measures after a quench has become a very active area of research in the last two decades, motivated by the development of experimental techniques. However, exact results in this context are available in only very few cases. In this work, we present the proof of the quasiparticle picture for the dynamics of entanglement entropies for two disjoint blocks in the XY chain after a quantum quench. As a byproduct, we also prove the quasiparticle conjecture for the mutual information in that model. Our calculations generalize those presented in [M. Fagotti, P. Calabrese, Phys. Rev. A 78, 010306 (2008)] to the case where the correlation matrix is a block-Toeplitz matrix, and rely on the multidimensional stationary phase approximation in the scaling limit. We also test the quasiparticle predictions against exact numerical calculations, and find excellent agreement. In the case of three blocks, we show that the tripartite information vanishes when at least two blocks are adjacent.
