arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新，休息一下吧，周末愉快~~
arXiv 2005.05330quant-phhep-th
收藏

带限纠缠捕获

Bandlimited Entanglement Harvesting

Laura J. Henderson, Nicolas C. Menicucci

备注：
(v2) minor changes to match published version; (v1) 13 pages, 9 figures, 16 images
发表信息：
Phys. Rev. D 102, 125026 (2020)
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

有许多理由相信，存在一个基本的最小长度尺度，低于该尺度的距离不能可靠地分辨。构造具有有限最小长度尺度的量子场的一种方法是使用带限量子场论，其中时空在数学上既是连续的又是离散的。这是对场的一种修改，它已被证明在场的水平上具有许多后果。我们考虑了一种操作方法，并使用一对粒子探测器（二能级量子比特）作为场的本地探测器，通过开关函数以依赖于时间的方式耦合到带限无质量标量场的真空。我们表明，在数学上，频带限制修改的探测器的空间分布，使他们只是准本地。我们探讨两种不同类型的开关函数，高斯和狄拉克δ。我们发现当两能级间的能隙大于带限时，高斯开关的带限指数地抑制了探测器的去激发。如果探测器是在基态中制备的，在参数空间的某些区域中，它们能够从场中提取比没有带限时更多的纠缠。当探测器与狄拉克-德尔塔开关耦合时，我们表明，当粒子探测器耦合到一个小而有限的时空区域时，它对带限最敏感。我们发现，带限的影响是检测使用本地探针。这项工作很重要，因为它说明了量子场中基本带限的可能观测结果。

英文摘要：

There are many reasons to believe that there is a fundamental minimum length scale below which distances cannot be reliably resolved. One method of constructing a quantum field with a finite minimum length scale is to use bandlimited quantum field theory, where the spacetime is mathematically both continuous and discrete. This is a modification to the field, which has been shown to have many consequences at the level of the field. We consider an operational approach and use a pair of particle detectors (two-level qubits) as a local probe of the field, which are coupled to the vacuum of the bandlimited massless scalar field in a time dependent way through a switching function. We show that, mathematically, the bandlimit modifies the spatial profile of the detectors so that they are only quasi-local. We explore two different types of switching functions, Gaussian and Dirac delta. We find that with Gaussian switching, the bandlimit exponentially suppresses the de-excitation of the detectors when the energy gap between the two levels is larger than the bandlimit. If the detectors are prepared in ground state, in certain regions of the parameter space they are able to extract more entanglement from the field than if there was no bandlimit. When the detectors couple with Dirac-delta switching, we show that a particle detector is most sensitive to the bandlimit when it couples to a small but finite region of spacetime. We find that the effects of a bandlimit are detectable using local probes. This work is important because it illustrates the possible observable consequences of a fundamental bandlimit in a quantum field.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

↑