在SYK模型中揭示非平衡黑洞的内部
Revealing the interior of black holes out of equilibrium in the SYK model
摘要：
Sachdev-Ye-Kitaev（SYK）模型可以用来描述二维近反deSitter引力场中的黑洞。我们表明，当这样的黑洞是由一个随时间变化的负能量微扰扰动，他们的内部可以部分揭示。在SYK模型中，对马约拉纳费米子对状态的部分测量允许我们构建一个匹配的BH几何的依赖于时间的负能量微扰，使BH的状态远离其平衡态。Kourkoulou和Maldacena证明，如果扰动足够强，内部可以完全暴露，BH消失。在这里，我们表明，当扰动是弱于充分曝光的阈值，它有效地移动的视界的BH向内，从而部分暴露的BH的内部，留下一个较小的BH。曝光量与测量的马约拉纳对的数量成比例，因此也与扰动能量的大小成比例。从边界，部分测量被认为是一个突发的辐射，其强度和持续时间是成比例的测量马约拉纳对的数量。
英文摘要：
The Sachdev-Ye-Kitaev (SYK) model can be used to describe black holes (BHs) in two-dimensional nearly-anti-de-Sitter gravity. We show that when such BHs are perturbed by a time-dependent negative-energy perturbation, their interior can be partially revealed. In the SYK model, a partial measurement of the state of the Majorana fermion pairs allows one to construct a matching time-dependent negative-energy perturbation of the BH geometry that shifts the state of the BH away from its equilibrium state. Kourkoulou and Maldacena showed that, if the perturbation is strong enough, the interior can be fully exposed and the BH disappears. Here, we show that when the perturbation is weaker than the threshold for full exposure, it effectively moves the horizon of the BH inwards, thus partially exposing the interior of the BH and leaving behind a smaller BH. The exposure is in proportion to the number of measured Majorana pairs and so also in proportion to the magnitude of the energy of the perturbation. From the boundary, the partial measurement is perceived as a burst of radiation whose strength and duration are proportional to the number of measured Majorana pairs.
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