论文标题

纠缠链接和准粒子图片

Entanglement links and the quasiparticle picture

论文作者

Santalla, Silvia N., Ramírez, Giovanni, Roy, Sudipto Singha, Sierra, Germán, Rodríguez-Laguna, Javier

论文摘要

可以使用准粒子图片来理解淬灭与一维临界哈密顿量后具有短距离相关性的量子状态的时间演变,该图片指出,局部纠缠散布了,就好像是由以固定速度分离的准粒子携带的。我们使用最近引入的纠缠链路表示扩展了准粒子图片,从而使我们能够将其应用于呈现远程相关性的初始状态。纠缠链接是当前的相关器,因此在适当的配置空间上遵循波方程,该方程使我们能够预测纠缠熵的时间演变。我们的结果通过数值检查,以获取具有不同初始纠缠模式的免费费米子链。

The time evolution of a quantum state with short-range correlations after a quench to a one-dimensional critical Hamiltonian can be understood using the quasi-particle picture, which states that local entanglement spreads as if it was carried by quasi-particles which separate at a fixed speed. We extend the quasi-particle picture using the recently introduced link representation of entanglement, allowing us to apply it to initial states presenting long-range correlations. The entanglement links are current correlators, and therefore follow a wave equation on the appropriate configurational space which allows us to predict the time evolution of the entanglement entropies. Our results are checked numerically for free fermionic chains with different initial entanglement patterns.

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