标题： 智能孔洞：具有正确温度和熵的类比黑洞 显示英文标题

标题： Smart Holes: Analogue black holes with the right temperature and entropy

摘要： 在类比引力研究中，目标是在受控的实验室环境中复制黑洞现象，例如霍金辐射。 在凝聚态系统领域，这可能发生在基于蜂窝晶格的二维倾斜狄拉克锥材料中。 特别是，我们计算了这个系统的熵，并发现如果形成类比视界，其形式与黑洞贝肯斯坦-霍金熵相同。 因此，这些系统可以作为量子黑洞的潜在类比。 我们表明，这种熵主要集中在倾斜参数接近一的区域，这对应于类比黑洞视界的所在位置。 此外，当考虑非线性效应时，熵在一个小的费米海口袋中达到峰值，该口袋位于类比事件视界之后，我们称之为\textit{费米水坑}。 我们进一步将这种新型类比黑洞称为{\it 智能孔}，因为与哑洞不同，它可以模拟广义相对论黑洞的正确温度{\it 和}熵。 这些结果提供了一个在实验室环境中阐明黑洞物理各种量子方面的机会。 显示英文摘要

摘要： In analogue gravity studies, the goal is to replicate black hole phenomena, such as Hawking radiation, within controlled laboratory settings. In the realm of condensed matter systems, this may happen in 2D tilted Dirac cone materials based on honeycomb lattice. In particular, we compute the entropy of this system, and find it has the same form as black hole Bekenstein-Hawking entropy, if an analogue horizon forms. Hence, these systems can be potential analogues of quantum black holes. We show that this entropy is primarily concentrated in the region where the tilt parameter is close to one, which corresponds to the location of the analogue black hole horizon. Additionally, when nonlinear effects are taken into account, the entropy is peaked in a small pocket of the Fermi sea that forms behind the analogue event horizon, which we call the \textit{Fermi puddle}. We further refer to this new type of analogue black hole as a {\it smart hole}, since, in contrast to dumb holes, it can simulate both the correct temperature {\it and} entropy of general relativistic black holes. These results provide an opportunity to illuminate various quantum facets of black hole physics in a laboratory setting.