Abstract

We analyse the entanglement dynamics of two particles interacting through gravity in a setup similar to the recently proposed experiments that aim to test quantum signatures of gravity [S. Bose, A. Mazumdar, G.W. Morley, H. Ulbricht, M. Toroš, M. Paternostro, A.A. Geraci, P.F. Barker, M.S. Kim, G. Milburn, Phys. Rev. Lett. 119, 240401 (2017); C. Marletto, V. Vedral, Phys. Rev. Lett. 119, 240402 (2017)]. We consider the open dynamics of the system under decoherence due to the environmental interaction. We show that as long as the coupling between the particles is strong, the system does indeed develop entanglement, confirming the qualitative analysis in the original proposals. We show that the entanglement is also robust against stochastic fluctuations in setting up the system. The optimal interaction duration for the experiment is computed. A condition under which one can prove the entanglement in a device-independent manner is also derived.

Graphical abstract

中文翻译：

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具有引力相互作用的两个介观物体的纠缠动力学

摘要

我们以类似于最近提出的旨在测试引力的量子特征的实验的设置来分析通过引力相互作用的两个粒子的纠缠动力学。Bose，A.Mazumdar，GW Morley，H.Ulbricht，M.T​​oroš，M.Paternostro，AA Geraci，PF Barker，MS Kim，G.Milburn，物理 牧师 119，240401（2017）; C. Marletto，V。Vedral，物理学。牧师 119，240402（2017）]。由于环境的相互作用，我们考虑了在退相干下系统的开放动力学。我们表明，只要粒子之间的耦合很强，该系统的确会发生纠缠，从而证实了原始建议中的定性分析。我们表明，在建立系统时，纠缠还可以抵抗随机波动。计算出实验的最佳交互持续时间。还得出了一种条件，在该条件下可以以与设备无关的方式证明纠缠。

图形概要