SISSA, International School for Advanced Studies, Via Bonomea 265, 34136 Trieste, Italy and INFN Sezione di Trieste, Via Valerio 2, 34127 Trieste, Italy.
Departamento de Física Teórica and IPARCOS, Universidad Complutense de Madrid, 28040 Madrid, Spain and Instituto de Estructura de la Materia (IEM-CSIC), Serrano 121, 28006 Madrid, Spain.
Phys Rev Lett. 2019 Jul 26;123(4):041601. doi: 10.1103/PhysRevLett.123.041601.
We show that uniformly accelerated detectors can display genuinely thermal features even if the Kubo-Martin-Schwinger (KMS) condition fails to hold. These features include satisfying thermal detailed balance and having a Planckian response identical to cases in which the KMS condition is satisfied. In this context, we discuss that satisfying the KMS condition for accelerated trajectories is just sufficient but not necessary for the Unruh effect to be present in a given quantum field theory. Furthermore, we extract the necessary and sufficient conditions for the response function of an accelerated detector to be thermal in the infinitely adiabatic limit. This analysis provides new insight about the interplay between the KMS condition and the Unruh effect, and a solid framework in which the robustness of the Unruh effect against deformations of quantum field theories (perhaps Lorentz-violating) can be answered unambiguously.
我们表明，即使库伯-马丁-施温格（KMS）条件不成立，匀加速探测器也可以显示出真正的热特征。这些特征包括满足热详细平衡，并具有与 KMS 条件得到满足的情况相同的普朗克响应。在这种情况下，我们讨论了对于加速轨迹，满足 KMS 条件仅仅是存在于给定量子场论中的乌伦贝克-德拜（Unruh）效应的充分条件，但不是必要条件。此外，我们还提取了在无限绝热极限下，加速探测器的响应函数是热的的必要和充分条件。这项分析为 KMS 条件和乌伦贝克-德拜（Unruh）效应之间的相互作用提供了新的见解，并为在可能违反洛伦兹不变性的量子场理论的变形下，乌伦贝克-德拜（Unruh）效应的稳健性可以得到明确回答提供了一个坚实的框架。
