arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2203.01982quant-phgr-qchep-th
收藏

引力诱导退相干与时空扩散:检验引力的量子本质

Gravitationally induced decoherence vs space-time diffusion: testing the quantum nature of gravity

Jonathan Oppenheim, Carlo Sparaciari, Barbara Šoda, Zachary Weller-Davies

AI总结:

本文证明经典-量子混合动力学必然在退相干与相空间扩散间存在权衡,并据此提出用干涉与质量精密测量检验引力是否本质上为经典。

摘要:

我们考虑两个相互作用的系统,其中一个被经典地处理,而另一个系统保持量子性。这种耦合的自洽动力学已被证明存在,并在经典处理时空的背景下得到探索。在这里,我们证明这种混合动力学必然导致量子系统的退相干,以及经典相空间中可预测性的崩溃。我们进一步证明,这种退相干速率与经典系统中诱导的扩散程度之间的权衡是所有经典-量子动力学的普遍特征;相对于耦合强度,长相干时间需要相空间中的强扩散。将该权衡关系应用于引力,我们发现引力诱导退相干强度与度规及其共轭动量的扩散之间存在关系。这为引力在根本上是经典的理论提供了一个实验特征。当前干涉测量实验给出的退相干速率界限,结合质量的精密测量,对爱因斯坦经典引力理论与量子物质相互作用的理论施加了显著限制。我们发现此类理论的部分参数空间已被排除,并提供了可用于未来质量测量和干涉实验的品质因数。

英文摘要:

We consider two interacting systems when one is treated classically while the other system remains quantum. Consistent dynamics of this coupling has been shown to exist, and explored in the context of treating space-time classically. Here, we prove that such hybrid dynamics necessarily results in decoherence of the quantum system, and a breakdown in predictability in the classical phase space. We further prove that a trade-off between the rate of this decoherence and the degree of diffusion induced in the classical system is a general feature of all classical quantum dynamics; long coherence times require strong diffusion in phase-space relative to the strength of the coupling. Applying the trade-off relation to gravity, we find a relationship between the strength of gravitationally-induced decoherence versus diffusion of the metric and its conjugate momenta. This provides an experimental signature of theories in which gravity is fundamentally classical. Bounds on decoherence rates arising from current interferometry experiments, combined with precision measurements of mass, place significant restrictions on theories where Einstein's classical theory of gravity interacts with quantum matter. We find that part of the parameter space of such theories are already squeezed out, and provide figures of merit which can be used in future mass measurements and interference experiments.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑