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arXiv 1407.6299hep-thgr-qcquant-ph
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通过Rindler防火墙的Unruh-DeWitt检测器响应是有限的

Unruh-DeWitt detector response across a Rindler firewall is finite

Jorma Louko

备注：
24 pages. v4: post-JHEP correction in the parity description of Delta F in Section 5
发表信息：
JHEP 1409 (2014) 142
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摘要：

我们研究了耦合到$(1+1)$维闵可夫斯基时空中的无质量标量场或其固有时间导数的两能级Unruh-DeWitt探测器，该探测器处于一个量子态中，该量子态在Rindler视界上的相关结构模拟了Almheiri等人认为在蒸发的黑洞时空中随之产生的防火墙的稳态方面。在一阶微扰理论，我们表明，探测器的响应下降通过地平线是突然的，但有限的。与闵可夫斯基真空响应的差异是成比例的$ω^{-2}\ln(|ω|)$的非导数检测器和$\ln(|ω|)$的导数耦合检测器，无论是在一个大的能隙$ω$的限制和绝热开关。添加到量子态高林德勒温度激发背后的地平线增加探测器的响应成比例的温度，这种情况已被建议建模的充满活力的窗帘建议Braunstein等人。我们推测，$(1+1)$维导数耦合探测器可能是一个很好的模型为非导数探测器，跨越防火墙在$3+1$尺寸。

英文摘要：

We investigate a two-level Unruh-DeWitt detector coupled to a massless scalar field or its proper time derivative in $(1+1)$-dimensional Minkowski spacetime, in a quantum state whose correlation structure across the Rindler horizon mimics the stationary aspects of a firewall that Almheiri et al have argued to ensue in an evaporating black hole spacetime. Within first-order perturbation theory, we show that the detector's response on falling through the horizon is sudden but finite. The difference from the Minkowski vacuum response is proportional to $ω^{-2}\ln(|ω|)$ for the non-derivative detector and to $\ln(|ω|)$ for the derivative-coupling detector, both in the limit of a large energy gap $ω$ and in the limit of adiabatic switching. Adding to the quantum state high Rindler temperature excitations behind the horizon increases the detector's response proportionally to the temperature; this situation has been suggested to model the energetic curtain proposal of Braunstein et al. We speculate that the $(1+1)$-dimensional derivative-coupling detector may be a good model for a non-derivative detector that crosses a firewall in $3+1$ dimensions.

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