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 2303.17640gr-qcquant-ph
收藏

具有非局域引力相互作用的质量的量子纠缠

Quantum entanglement of masses with non-local gravitational interaction

Ulrich K. Beckering Vinckers, Álvaro de la Cruz-Dombriz, Anupam Mazumdar

AI总结:

本研究在含非局域相互作用的线性化广义相对论下,分析两种场景中试验质量的量子引力纠缠,发现引力非局域性增强会降低纠缠的并发度和冯·诺依曼熵。

摘要:

我们在与物质存在特定非局域相互作用的线性化广义相对论框架下,研究了两个试验质量的量子引力纠缠。为此,我们考虑了一个描述两个等质量试验粒子的能量-动量张量,每个粒子都具有非零动量。在讨论了线性化理论的量子化之后,我们计算了引力能移,该能移在本情形下是算符值的。与局域引力相互作用相比,我们发现自相互作用项导致的引力能变化是有限的。随后我们研究了两种不同场景下量子引力诱导的质量纠缠。第一种场景将两个试验质量视为简谐振子,其相互作用哈密顿量由上述引力能移给出。第二种场景中,每个试验质量根据各自的自旋态处于两个位置的量子空间叠加态,其纠缠由引力相互作用和真空能移诱导。针对这两种场景,我们计算了并发度和冯·诺依曼熵;结果表明,引力相互作用的非局域性增强会导致这两个量均减小。

英文摘要:

We examine the quantum gravitational entanglement of two test masses in the context of linearized General Relativity with specific non-local interaction with matter. To accomplish this, we consider an energy-momentum tensor describing two test particles of equal mass with each possessing some non-zero momentum. After discussing the quantization of the linearized theory, we compute the gravitational energy shift which is operator-valued in this case. As compared to the local gravitational interaction, we find that the change in the gravitational energy due to the self-interaction terms is finite. We then move on to study the quantum gravity induced entanglement of masses for two different scenarios. The first scenario involves treating the two test masses as harmonic oscillators with an interaction Hamiltonian given by the aforesaid gravitational energy shift. In the second scenario, each of the test masses is placed in a quantum spatial superposition of two locations, based on their respective spin states, and their entanglement being induced by the gravitational interaction and the shift in the vacuum energy. For these two scenarios, we compute both the concurrence and the von Neumann entropy; showing that an increase in the non-locality of the gravitational interaction results in a decrease in both of these quantities.

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。

↑