论文标题
量子天然重力的机制纠缠质量
Mechanism for the quantum natured gravitons to entangle masses
论文作者
论文摘要
本文指出了重力相互作用与物质的量子性质的重要性，这是量子重力诱导的质量纠缠（QGEM）的线性化理论。我们将展示量子相互作用如何纠缠于谐波陷阱中两个测试质量的封闭系统（本征态）的稳态，以及这种量子物质 - 物质相互作用如何从基本的量子引力场出现。我们将依靠量子扰动理论强调产生量子物质 - 物质相互作用的关键假设，并表明经典的重力场不会导致这种纠缠。我们将考虑两个不同的例子。一个，两个谐波振荡器是静态的，另一个是谐波振荡器是非静态的。在这两种情况下，与谐波振荡器相互作用的引力的量子性质，负责与地面和谐波振荡器的激发状态建立纠缠状态，作为schmidt。我们将计算同意作为上述纠缠的标准，并突出引力量缠绕两个谐波振荡器的自旋2性质的作用。
This paper points out the importance of the quantum nature of the gravitational interaction with matter in a linearized theory of quantum gravity induced entanglement of masses (QGEM). We will show how the quantum interaction entangles the steady states of a closed system (eigenstates) of two test masses placed in the harmonic traps, and how such a quantum matter-matter interaction emerges from an underlying quantum gravitational field. We will rely upon quantum perturbation theory highlighting the critical assumptions for generating a quantum matter-matter interaction and showing that a classical gravitational field does not render such an entanglement. We will consider two distinct examples; one where the two harmonic oscillators are static and the other where the harmonic oscillators are non-static. In both the cases it is the quantum nature of the gravitons interacting with the harmonic oscillators that are responsible for creating an entangled state with the ground and the excited states of harmonic oscillators as the Schmidt basis. We will compute the concurrence as a criterion for the above entanglement and highlight the role of the spin-2 nature of the graviton for entangling the two harmonic oscillators.
