论文标题
在（2+1）d中均匀加速的布朗振荡器：依赖温度的耗散和频移
Uniformly accelerated Brownian oscillator in (2+1)D: temperature-dependent dissipation and frequency shift
论文作者
论文摘要
我们考虑了一个建模为谐波振荡器的UNRUH-DEWITT检测器，该检测器与（2+1）二维Minkowski SpaceTime中耦合到无质量标量的场。我们将检测器视为一个开放量子系统，并采用量子langevin方程来描述其时间的演变，而该场的特征是独立于频率的光谱密度，以随机力为随机力。我们研究了一个类似点的检测器，并通过Minkowski真空的恒定加速运动，并在Unruh温度下浸入热储层中的惯性探测器，探讨了两种情况对动态的众所周知的非等效性的含义。我们发现，加速检测器的耗散速率及其频率的变化是由于与田间浴的耦合所引起的频率取决于加速度的温度。有趣的是，这不仅与热浴中的惯性运动相反，而且与开放系统中的任何类似的量子布朗运动模型相比，在该模型中，散发和频率转移尚不清楚，这表现出温度依赖性。尽管如此，我们表明，波动散动定理仍然适用于检测器场系统，并且在弱耦合极限中，加速检测器在晚期驱动到未温度下的热平衡状态。
We consider an Unruh-DeWitt detector modeled as a harmonic oscillator that is coupled to a massless quantum scalar field in the (2+1)-dimensional Minkowski spacetime. We treat the detector as an open quantum system and employ a quantum Langevin equation to describe its time evolution, with the field, which is characterized by a frequency-independent spectral density, acting as a stochastic force. We investigate a point-like detector moving with constant acceleration through the Minkowski vacuum and an inertial one immersed in a thermal reservoir at the Unruh temperature, exploring the implications of the well-known non-equivalence between the two cases on their dynamics. We find that both the accelerated detector's dissipation rate and the shift of its frequency caused by the coupling to the field bath depend on the acceleration temperature. Interestingly enough this is not only in contrast to the case of inertial motion in a heat bath but also to any analogous quantum Brownian motion model in open systems, where dissipation and frequency shifts are not known to exhibit temperature dependencies. Nonetheless, we show that the fluctuating-dissipation theorem still holds for the detector-field system and in the weak-coupling limit an accelerated detector is driven at late times to a thermal equilibrium state at the Unruh temperature.
