论文标题

相对论的UNRUH-DEWITT探测器,具有量化的质量中心

Relativistic Unruh-DeWitt detectors with quantized center of mass

论文作者

Gale, Evan P. G., Zych, Magdalena

论文摘要

在本文中,我们将Unruh-Dewitt(UDW)模型扩展到了探测器的相对论量化质量中心(C.M.),该探测器传统上具有经典的C.M.并遵循经典的轨迹。我们开发了一种惯性检测器的相对论模型,遵循两种不同的方法,从第一或第二量化的治疗开始,这使我们能够比较两个方案之间的基本差异。特别是,我们发现两个模型之间的定位概念是不同的,并导致了不同的预测,我们通过比较UDW检测器与无质量标量场相互作用的自发发射速率进行了研究。此外,我们考虑了真空和培养基中的UDW系统,并将我们的结果与描述经典或量化C.M.的现有模型进行比较。在低能量下。我们发现,原则上可以区分每个模型的预测,包括两个相对论案例,可以进一步扩展我们的结果以找到最佳的检测器状态和过程以执行此类实验。这将阐明量化的C.M.用于与外部场的相互作用,以及第一和第二量化处理之间的不同局限性。

In this paper, we extend the Unruh-DeWitt (UDW) model to include a relativistic quantized center of mass (c.m.) for the detector, which traditionally has a classical c.m. and follows a classical trajectory. We develop a relativistic model of an inertial detector following two different approaches, starting from either a first- or second-quantized treatment, which enables us to compare the fundamental differences between the two schemes. In particular, we find that the notion of localization is different between the two models, and leads to distinct predictions, which we study by comparing the spontaneous emission rates for the UDW detector interacting with a massless scalar field. Furthermore, we consider the UDW system in both a vacuum and medium, and compare our results to existing models describing a classical or quantized c.m. at low energies. We find that the predictions of each model, including the two relativistic cases, can in principle be empirically distinguished, and our results can be further extended to find optimal detector states and processes to perform such experiments. This would clarify both the role of a quantized c.m. for interactions with an external field, and the differing localizations between the first- and second-quantized treatments.

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