标题： 黑洞熵的长程起源 显示英文标题

标题： The long-range origin of the black hole entropy

摘要： 萨奇德-叶-基塔耶夫（SYK）模型已成为探索黑洞量子性质的强大工具，特别是它们在零温度下的剩余熵。 在本工作中，我们研究了具有幂律衰减耦合的SYK点链中长程相互作用的作用，并展示了这些相互作用如何在强非局部情况下导致有限的剩余熵。 事实上，作为相互作用范围的函数，孤立SYK中的黑洞相在弱长程 regime 中融化为长程费米液体相，并最终在纯局部情况下达到非费米液体相。 我们的结果为理解相互作用范围在黑洞热力学和量子信息中的作用铺平了道路。 显示英文摘要

摘要： The Sachdev-Ye-Kitaev (SYK) model, has emerged as a powerful tool for exploring the quantum nature of black holes, particularly their residual entropy at zero temperature. In this work, we investigate the role of long-range interactions in a chain of SYK dots with power-law decaying couplings and demonstrate how these interactions can lead to finite residual entropy in the strong non-local case. Indeed, as a function of the interaction range, the black-hole phase, found in the isolated SYK, melts into a long-range Fermi-liquid phase in the weak long-range regime and finally reaches the non Fermi-liquid phase in the purely local case. Our results pave the way to the understanding of the role of the interaction range in black hole thermodynamics and quantum information.