The long-range origin of the black hole entropy

TL;DR

This paper explores how long-range interactions in a chain of SYK models influence black hole entropy, revealing phase transitions from black-hole to Fermi-liquid and non-Fermi-liquid states based on interaction range.

Contribution

It demonstrates that the range of interactions in SYK chains critically affects residual entropy and phase behavior, advancing understanding of black hole thermodynamics.

Findings

Long-range interactions induce finite residual entropy.

Phase transitions depend on interaction range.

Black-hole phase transitions to Fermi-liquid and non-Fermi-liquid states.

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.