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We characterize the early stages of the approach to equilibrium in isolated quantum systems through the evolution of the entanglement spectrum. We find that the entanglement spectrum of a subsystem evolves with at least three distinct…

Disordered Systems and Neural Networks · Physics 2019-11-12 Po-Yao Chang , Xiao Chen , Sarang Gopalakrishnan , J. H. Pixley

In the framework of the theory of open systems based on completely positive quantum dynamical semigroups, we study the continuous variable entanglement for a system consisting of two independent harmonic oscillators interacting with a…

Quantum Physics · Physics 2009-12-31 Aurelian Isar

Entanglement and entropy are key concepts standing at the foundations of quantum and statistical mechanics, respectively. In the last decade the study of quantum quenches revealed that these two concepts are intricately intertwined.…

Strongly Correlated Electrons · Physics 2017-08-21 Vincenzo Alba , Pasquale Calabrese

The thermodynamic properties of self-gravitating spherical thin matter shells an black holes in $d>4$ dimensions are studied, extending previous analysis for $d=4$. The shell joins a Minkowski interior to a Tangherlini exterior, i.e., a…

High Energy Physics - Theory · Physics 2019-07-03 Rui André , José P. S. Lemos , Gonçalo M. Quinta

In the expanding universe, two interacting fields are no longer in thermal contact when the interaction rate becomes smaller than the Hubble expansion rate. After decoupling, two subsystems are usually treated separately in accordance with…

High Energy Physics - Theory · Physics 2017-12-20 Yuichiro Nakai , Noburo Shiba , Masaki Yamada

Moving mirrors have been known as tractable setups modeling Hawking radiation from black holes. In this paper, motivated by recent developments regarding the black hole information problem, we present extensive studies of moving mirrors in…

High Energy Physics - Theory · Physics 2021-11-10 Ibrahim Akal , Yuya Kusuki , Noburo Shiba , Tadashi Takayanagi , Zixia Wei

Black holes evolve by evaporation of their event horizon. While this process is believed to be unitary, there is no consensus on the recovery of information in black hole entropy. A missing link is a unit of information in black hole…

High Energy Physics - Theory · Physics 2023-11-01 Maurice H. P. M. van Putten

Using the fact that 2D Newton constant is wholly induced by a conformal field theory, we derive a formula for the entanglement entropy of the anti-de Sitter black hole in two spacetime dimensions. The leading term in the large black hole…

High Energy Physics - Theory · Physics 2008-11-26 Mariano Cadoni

A coherent picture of the quantum mechanics of a collapse-formed, evaporating black hole is presented. In a distant frame, semiclassical theory in the zone describes microscopic dynamics of only the "hard modes," the modes that are hard…

High Energy Physics - Theory · Physics 2019-04-17 Yasunori Nomura

In this paper, I study the entanglement entropy in Hartle-Hawking states of JT gravity set up by a Euclidean path integral with an operator inserted somewhere along the Euclidean boundary. I show that the entanglement entropy between the…

High Energy Physics - Theory · Physics 2021-08-31 Jennifer Lin

We show that, in order to preserve the equivalence principle until late times in unitarily evaporating black holes, the thermodynamic entropy of a black hole must be primarily entropy of entanglement across the event horizon. For such black…

Quantum Physics · Physics 2013-03-07 Samuel L. Braunstein , Stefano Pirandola , Karol Życzkowski

In this note, we consider entanglement and Renyi entropies for spatial subsystems of a boundary conformal field theory (BCFT) or of a CFT in a state constructed using a Euclidean BCFT path integral. Holographic calculations suggest that…

High Energy Physics - Theory · Physics 2021-03-31 James Sully , Mark Van Raamsdonk , David Wakeham

A complete treatment of the entanglement of two-level systems, which evolves through the contact with a thermal bath, must include the fact that the system and the bath are not fully separable. Therefore, quantum coherent superpositions of…

Quantum Physics · Physics 2015-05-18 Arend G. Dijkstra , Yoshitaka Tanimura

In the framework of open quantum systems, we study the internal dynamics of both freely falling and static two-level atoms interacting with quantized conformally coupled massless scalar field in de Sitter spacetime. We find that the atomic…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Zehua Tian , Jiliang Jing

We aim to quantify the distribution of information in the Hawking radiation and inside the black hole in the semiclassical evaporation process. The structure quantum field theory forces to consider a shared information between two different…

High Energy Physics - Theory · Physics 2013-05-29 H. Casini

We compute the evolution of the entanglement entropy for a massless field within a spherical region throughout the inflationary period and the subsequent era of radiation domination, starting from the Bunch-Davies vacuum. In order to focus…

General Relativity and Quantum Cosmology · Physics 2024-10-28 Konstantinos Boutivas , Dimitrios Katsinis , Georgios Pastras , Nikolaos Tetradis

We investigate the dynamics of bipartite entanglement after the sudden junction of two leads in interacting integrable models. By combining the quasiparticle picture for the entanglement spreading with Generalised Hydrodynamics we derive an…

Statistical Mechanics · Physics 2019-07-10 Vincenzo Alba , Bruno Bertini , Maurizio Fagotti

To characterize the effect of Hawking radiation induced by the quantum atmosphere beyond the event horizon on entanglement, we employ concurrence as the entanglement measure for a bipartite mixed state and investigate its evolution with…

Quantum Physics · Physics 2026-04-08 Fang Xie , Ying Yang , Tinggui Zhang , Xiaofen Huang

The growth of information scrambling, captured by out-of-time-order correlation functions (OTOCs), is a central indicator of the nature of many-body quantum dynamics. Here, we compute analytically the complete time dependence of the OTOC…

High Energy Physics - Theory · Physics 2025-11-21 Antonio M. García-García , Chang Liu , Lucas Sá , Jacobus J. M. Verbaarschot , Jie-ping Zheng

It was recently shown that entanglement in quantum systems being in a non-equilibrium state can appear at much higher temperatures than in an equilibrium state. However, any system is subject to the natural relaxation process establishing…

Quantum Physics · Physics 2015-06-15 Gregory B. Furman , Victor M. Meerovich , Vladimir L. Sokolovsky