Quantum Quench and Scaling of Entanglement Entropy
Quantum Quench and Scaling of Entanglement Entropy
复制标题
量子淬灭和纠缠熵的缩放
DOI：
10.1016/j.physletb.2017.06.017
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
Akio Tomiya
中科院分区：
文献类型：
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作者：
Pawel Caputa;Sumit R. Das;Masahiro Nozaki;Akio Tomiya
全局量子淬火与一个有限的淬火率，它跨越临界点是已知的，导致通用的相关函数的淬火率的函数缩放。在这项工作中，我们探讨了量子纠缠熵的标度性质的谐波链中的子系统在质量淬火渐近线到有限的常数值在早期和晚期的时间和动力学是完全可解的。当初始态为基态时，我们发现，对于足够大的子系统尺寸，纠缠熵变得与尺寸无关。这与缓慢猝灭的Kibble-Zurek缩放一致，并且与最近讨论的与物理尺度相比猝灭快但与UV截止尺度相比猝灭慢的“快速猝灭缩放”一致。
Global quantum quench with a finite quench rate which crosses critical points is known to lead to universal scaling of correlation functions as functions of the quench rate. In this work, we explore scaling properties of the entanglement entropy of a subsystem in a harmonic chain during a mass quench which asymptotes to finite constant values at early and late times and for which the dynamics is exactly solvable. When the initial state is the ground state, we find that for large enough subsystem sizes the entanglement entropy becomes independent of size. This is consistent with Kibble–Zurek scaling for slow quenches, and with recently discussed “fast quench scaling” for quenches fast compared to physical scales, but slow compared to UV cutoff scales.