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Entropy in Quantum Systems and Quantum Field Theory (QFT): Gravity, 3rd Edition

A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Quantum Information".

Deadline for manuscript submissions: 8 September 2025 | Viewed by 873

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Guest Editor
1. ISEM Institute for Scientific Methodology, Via Ugo La Malfa n. 153, 90146 Palermo, Italy
2. School of Advanced International Studies on Applied Theoretical and Non Linear Methodologies of Physics, 70121 Bari, Italy
Interests: foundation of quantum theories; quantum cosmology; de sitter holographic models; dissipative quantum field theories; physics of emergence and organization; fisher information; sub- and super-Turing computation models
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Special Issue Information

Dear Colleagues,

Over the last few years, a growing interest has been expressed in entropic and informational aspects of quantum systems. In particular, we know that quantum entropy is an important index for nonlocal correlations and entanglement. Relaxation, dissipation, noise, and fluctuations in quantum open systems and in quantum field theory are concepts that run through all of physics, from elementary particles to cosmology. An area of ​​extraordinary interest is the connection between entropy and gravity, which emerged with the study of black holes and was subsequently developed in the direction of emergent gravity. It is in this field that the most significant clues in the direction of quantum gravity have accumulated. The third volume of Entropy in Quantum Systems and Quantum Field Theory is dedicated to this field of research. This Special Issue of Entropy is an invitation to scholars to deepen the theory and the applications of this important area of research.

Prof. Dr. Ignazio Licata
Guest Editor

Manuscript Submission Information

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Keywords

  • quantum open systems and nonequilibrium quantum field theory
  • quantum fields background and particle creation
  • dissipative dynamics in QM and QFT
  • quantum entropies, noise, and fluctuations
  • coherence and decoherence in quantum systems
  • entanglement entropy in quantum field theory
  • nonequilibrium quantum processes in the early universe
  • Bekenstein-Hawking entropy
  • Ryu–Takayanagi entropy
  • holographic approaches
  • space time thermodynamics

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Published Papers (1 paper)

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Research

10 pages, 585 KiB  
Article
The Quantum Relative Entropy of the Schwarzschild Black Hole and the Area Law
by Ginestra Bianconi
Entropy 2025, 27(3), 266; https://doi.org/10.3390/e27030266 - 4 Mar 2025
Cited by 1 | Viewed by 710
Abstract
The area law obeyed by the thermodynamic entropy of black holes is one of the fundamental results relating gravity to statistical mechanics. In this work, we provide a derivation of the area law for the quantum relative entropy of the Schwarzschild black hole [...] Read more.
The area law obeyed by the thermodynamic entropy of black holes is one of the fundamental results relating gravity to statistical mechanics. In this work, we provide a derivation of the area law for the quantum relative entropy of the Schwarzschild black hole for an arbitrary Schwarzschild radius. The quantum relative entropy between the metric of the manifold and the metric induced by the geometry and the matter field has been proposed in G. Bianconi as the action for entropic quantum gravity leading to modified Einstein equations. The quantum relative entropy generalizes Araki’s entropy and treats the metrics between zero-forms, one-forms, and two-forms as quantum operators. Although the Schwarzschild metric is not an exact solution of the modified Einstein equations of the entropic quantum gravity, it is an approximate solution valid in the low-coupling, small-curvature limit. Here, we show that the quantum relative entropy associated to the Schwarzschild metric obeys the area law for a large Schwarzschild radius. We provide a full statistical mechanics interpretation of the results. Full article
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