The long-range origin of the black hole entropy
Abstract
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.
Keywords
Cite
@article{arxiv.2412.06899,
title = {The long-range origin of the black hole entropy},
author = {Andrea Solfanelli and Francesco Petocchi and Nicolò Defenu},
journal= {arXiv preprint arXiv:2412.06899},
year = {2024}
}