局域量子猝灭产生的量子噪声和纠缠
Quantum noise and entanglement generated by a local quantum quench
摘要：
我们研究了简单分数量子霍尔流体在量子猝灭下的纠缠增长及其与局域观测量测量的关系。最近，Klich和Levitov提出，由局域量子猝灭产生的噪声提供了纠缠熵的度量。他们的方法是特定于非相互作用的电子和相互作用系统的推广是一个悬而未决的问题。在这项工作中，我们将他们的结果推广到Laughlin态。我们研究了填充因子为$ν=1/m$的分数量子霍尔态的边缘电流中产生的噪声，当量子点接触初始闭合时，在某个初始时刻$t_0=0$完全打开.我们发现，在这些系统中的局部淬火给时间依赖的关联函数，有足够长的时间和长度尺度上的普遍行为。我们计算了$ν=1/m$的噪声和全计数统计，发现一般情况下，产生的纠缠熵和噪声是无关的量。我们还讨论了这个问题的推广到临界量子伊辛自旋链。
英文摘要：
We examine the growth of entanglement under a quantum quench at point contacts of simple fractional quantum Hall fluids and its relation with the measurement of local observables. Recently Klich and Levitov proposed that the noise generated from a local quantum quench provides a measure of the entanglement entropy. Their methods were specific to non-interacting electrons and the generalization to interacting systems was left as an open question. In this work, we generalize their result to the Laughlin states. We investigate the noise generated in the current along the edge of a fractional quantum Hall state at filling factors $ν=1/m$, when a quantum point contact, initially closed, is fully opened at some initial time $t_0=0$. We find that local quenching in these systems gives time dependent correlation functions that have universal behavior on sufficiently long time and length scales. We calculate the noise and full counting statistics for $ν=1/m$ and find that in general, the entanglement entropy and noise generated are unrelated quantities. We also discuss a generalization of this problem to the critical quantum Ising spin chain.
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