The long-range origin of the black hole entropy

• URL: http://arxiv.org/abs/2412.06899v1
• Date: Mon, 09 Dec 2024 19:00:12 GMT
• Title: The long-range origin of the black hole entropy
• Authors: Andrea Solfanelli, Francesco Petocchi, Nicolò Defenu,
• Abstract summary: We investigate the role of long-range interactions in a chain of SYK dots with power-law decaying couplings. Our results pave the way to the understanding of the role of the interaction range in black hole thermodynamics and quantum information.
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• 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.

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