闵可夫斯基时空中的圆周加速度：热性与有限尺寸
Circular acceleration in Minkowski spacetime: thermality versus finite size
浏览论文内容
中文总结 AI 辅助
研究圆周运动Unruh效应中空间约束对探测器响应的影响，发现大边界区域存在共振峰，且环境温度增强其显著性。
中文摘要 AI 辅助
Unruh效应预言，具有固有加速度$a$的均匀线性加速观测者会通过激发和退激发对闵可夫斯基真空作出反应，其特性与温度为$T_U=a/(2\pi)$的热态一致。作匀速圆周运动的观测者会经历类似的激发和退激发，我们可用其操作性地定义有效温度，但该温度不仅依赖于加速度，还依赖于轨道速度和激发能量。受圆周运动Unruh效应实验兴趣的驱动，我们研究空间约束如何修改$2+1$维闵可夫斯基时空中Unruh-DeWitt探测器的响应。我们考虑一个被限制在圆形边界内的无质量标量场，其处于真空态或热态，由一个在圆轨道上的Unruh-DeWitt探测器探测，这一设置描述了用于测试该效应的拟议类比时空系统，且其中边界和环境温度必然同时存在。我们在大边界区域建立了探测器响应的解析结果，并识别出共振峰，当场具有环境温度时这些峰更为显著。
英文摘要
The Unruh effect predicts that a uniformly linearly accelerated observer with proper acceleration $a$ reacts to the Minkowski vacuum through excitations and de-excitations with the characteristics of a thermal state at temperature $T_U=a/(2π)$. An observer in uniform circular motion will experience similar excitations and de-excitations that we may use to operationally define an effective temperature, which however depends not only on the acceleration but also on the orbital speed and excitation energy. Motivated by the experimental interest in the circular motion Unruh effect, we investigate how spatial confinement modifies the response of an Unruh-DeWitt detector in $2+1$ Minkowski spacetime. We consider a massless scalar field confined within a circular boundary prepared in either the vacuum or a thermal state, probed by an Unruh-DeWitt detector on a circular orbit, a setting that describes proposed analogue spacetime systems for testing the effect, and in which both a boundary and an ambient temperature will necessarily be present. We establish analytic results for the detector response in the large-boundary regime and identify resonance peaks, which are more prominent when the field has an ambient temperature.
