解释渐近平直时空中中微子量子相干性的有效距离：Leggett-Garg不等式与量子信息量悖论的解决
Interpreting quantum coherence of neutrinos in asymptotically flat spacetimes via effective distances: Solution to the paradoxes of the Leggett-Garg inequality and quantum information quantities
- GLUT（桂林理工大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
提出有效距离概念，证明渐近平直时空中中微子量子相干性独立于背景时空，解决LG不等式悖论，并排除黑洞对量子信息量的引力放大或阻尼效应。
AI中文摘要：
在这项工作中，我们提出了一种称为有效距离的概念，用以表征引力对中微子量子相干性的本质影响。利用有效距离，我们证明在渐近平直时空中，中微子振荡相位总能映射到平直时空中的相位，这被认为是等效原理的一个非平凡实现。因此，由Leggett-Garg（LG）参数量化的量子相干性最大量独立于背景时空，即引力对中微子量子相干性的影响依赖于测量方式的悖论（Ettefaghi等人[1]）不会出现。遵循同样的路径，我们排除了对于特殊质量黑洞（Wang等人[2]），引力对量子信息量振幅的放大或阻尼效应。为了进一步证明量子相干性独立于背景时空，我们检验了使用LG参数来识别时空的量子修正模型的提议。对于不同的中微子发射位置和各种量子参数，我们在振荡的LG曲线中未发现一致的图案来区分量子度规与经典度规。
英文摘要：
In this work, we propose a notion called effective distance to characterize the essential gravitational effects on quantum coherence of neutrinos. Employing effective distances, we prove that one can always map neutrino-oscillation phases in asymptotically flat spacetimes onto the phases in flat spacetime, which is considered as a nontrivial realization of equivalence principle. Hence, the maximal amount of quantum coherence, quantified by the Leggett-Garg (LG) parameter is independent from background spacetimes, namely, the paradox that the gravitational effects on quantum coherence of neutrinos are measure-dependent (Ettefaghi et al.[1]) does not arise. Following the same route, we preclude the gravitational amplifying or damping of amplitudes of the quantum information quantities for special masses of black holes (Wang et al. [2]). To demonstrate furthermore the independence of quantum coherence from background spacetimes, we examine the proposal using the LG parameter to identify quantum-corrected models of spacetimes. For different emission positions of neutrinos and various quantum parameters, we find no consistent patterns in oscillating LG curves to discriminate a quantum metric from the classical one.
