Mechanism for the quantum natured gravitons to entangle masses
Mechanism for the quantum natured gravitons to entangle masses
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DOI：
10.1103/physrevd.105.106028
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发表时间：
2022-05-31
影响因子：
5
通讯作者：
Toros, Marko
中科院分区：
文献类型：
--
作者：
Bose, Sougato;Mazumdar, Anupam;Toros, Marko
本文指出在量子引力诱导质量纠缠的线性化理论中，引力与物质相互作用的量子性质的重要性。我们将展示量子相互作用如何纠缠两个置于谐波陷阱中的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潜在的量子引力场中出现。我们将依靠量子微扰理论，强调产生量子物质相互作用的关键假设，并表明经典引力场不会产生这样的纠缠。我们将考虑两个不同的例子：一个是两个谐振子是静态的，另一个是谐振子是非静态的。在这两种情况下，都是引力子与谐振子相互作用的量子性质导致了以谐振子的基态和激发态作为施密特基的纠缠态。我们将计算纠缠度作为上述纠缠的判据，并比较两个谐振子纠缠的两种方式。
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. 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 nonstatic. In both 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 compare the two ways of entangling the two harmonic oscillators.