论文标题

弗里德曼(Friedmann)的量子相关性的迟到时间复兴

Unruh deWitt probe of late time revival of quantum correlations in Friedmann spacetimes

论文作者

Dhanuka, Ankit, Lochan, Kinjalk

论文摘要

Unruh DeWitt检测器是研究任何几何背景下量子场动力学的重要构造。曲率在设置给定的时空中建立量子场的相关性方面也起着重要作用。例如,已知无质量的领域在DE STATER空间以及某些类别的Friedmann-Robertson-Walker(FRW)宇宙中具有很大的相关性。但是,某些相关性本质上是世俗的,而有些相关性是动态和时空依赖性的。在不同的空间中,Unruh Dewitt检测器对此类差异的反应不同。在这项工作中,我们研究了与FRW空间相互作用的Unruh DeWitt检测器的响应率。我们在传统上也考虑衍生耦合的unruh dewitt探测器。特别是,我们考虑它们与FRW空间中的无质量标量场的相互作用,在Sitter Spacetime中与几乎无质量的标量场相互作用。我们讨论在Sitter时空中无数限制中的红外差异如何以这些Unruh DeWitt检测器的响应率的水平表现出来,这是如何在宽类的Friedmann spaceTime中表现出来的。为了进行这项研究,我们在Sitter Spacetime中使用了FRW空间中的无质量标量场之间的等效性。此外,我们表明,虽然衍生耦合调节了Sitter Spacetime中出现的差异,但它并不能完全以物质为主导的宇宙中删除它们。这引起了检测器中的大型过渡,可以用作在宇宙后期时代建立较大相关性的探针。我们表明,氢原子与重力波的耦合采用类似于衍生耦合的UDW探测器的形式,因此具有显着的观察意义,作为对量子相关器的较晚时间复兴的探测。

Unruh deWitt detectors are important constructs in studying the dynamics of quantum fields in any geometric background. Curvature also plays an important role in setting up the correlations of a quantum field in a given spacetime. For instance, massless fields are known to have large correlations in de Sitter space as well as in certain class of Friedmann-Robertson-Walker (FRW) universes. However, some of the correlations are secular in nature while some are dynamic and spacetime dependent. An Unruh deWitt detector responds to such divergences differently in different spacetimes. In this work, we study the response rate of Unruh deWitt detectors which interact with quantum fields in FRW spacetimes. We consider both conventionally as well as derivatively coupled Unruh deWitt detectors. Particularly, we consider their interaction with massless scalar fields in FRW spacetimes and nearly massless scalar fields in de Sitter spacetime. We discuss how the term which gives rise to the infrared divergence in the massless limit in de Sitter spacetime manifests itself at the level of the response rate of these Unruh deWitt detectors in a wide class of Friedmann spacetimes. To carry out this study, we use an equivalence between massless scalar fields in FRW spacetimes with massive scalar fields in de Sitter spacetime. Further, we show that while the derivative coupling regulates the divergence appearing in de Sitter spacetime, it does not completely remove them in matter dominated universe. This gives rise to large transitions in the detector which can be used as a probe of setting up of large correlations in late time era of the universe as well. We show that the coupling of hydrogen atoms with gravitational waves takes a form that is similar to derivatively coupled UdW detectors and hence has significant observational implications as a probe of late time revival of quantum correlators.

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