AI 中文总结
研究广义相对论原理在量子领域的有效性问题，通过调整量子局部位置不变性公式到引力诱导纠缠背景下，分析两种方案，表明量子时钟的引力诱导纠缠为研究该领域基本原理提供方法，揭示量子力学与引力理论相互作用。
AI 中文摘要
广义相对论原理是否延伸到量子领域仍是现代物理学的开放问题之一。在经典广义相对论中，爱因斯坦等效原理支撑着将引力解释为时空几何。但当引力源可能是量子时，该原理是否仍有效未知。本文表明量子时钟的引力诱导纠缠（GIE）提供了一个框架来表征这种情况下的局部位置不变性（LPI），它是等效原理的子原理之一。通过调整现有的量子LPI公式到GIE背景下，分析了两种解决LPI互补方面且仅初始时钟状态选择不同的方案：一种是当且仅当存在真正的量子LPI违反时产生纠缠，另一种是类经典LPI违反表现在纠缠振荡频率中。结果表明量子时钟的GIE为研究量子领域广义相对论的基本原理提供了一种方法，揭示了量子力学与引力理论之间的相互作用。
英文摘要
Whether the principles of general relativity extend to a quantum regime remains one of the open questions in modern physics. In classical general relativity, Einstein's equivalence principle underpins the interpretation of gravity as spacetime geometry. However, it is not known whether the principle remains valid when the source of gravity could be quantum. Here we show that gravity-induced entanglement (GIE) of quantum clocks provides a framework to characterize local position invariance (LPI) in such a regime, which constitutes one of the subprinciples of the equivalence principle. By adapting the existing formulation of quantum LPI to the context of GIE, we analyze two schemes that address complementary aspects of LPI and differ only in the choice of the initial clock state: one in which entanglement will be generated if and only if there is a genuinely quantum violation of LPI, and the other where classical-like LPI violation manifests in the frequency of entanglement oscillation. Our results suggest that GIE of quantum clocks offers an approach to investigating fundamental principles of general relativity in the quantum regime, shedding new light on the interplay between quantum mechanics and the theory of gravity.
Comments7 pages, 1 figure
