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We study the evolution of entanglement entropy in a 2-dimensional equilibration process that has a holographic description in terms of a Vaidya geometry. It models a unitary evolution in which the field theory starts in a pure state, its…

High Energy Physics - Theory · Physics 2010-12-06 Javier Abajo-Arrastia , Joao Aparicio , Esperanza Lopez

We provide an example of how the complex dynamics of a recently introduced model can be understood via a detailed analysis of its associated Riemann surface. Thanks to this geometric description an explicit formula for the period of the…

Chaotic Dynamics · Physics 2015-03-19 David Gomez-Ullate , Paolo Santini , Matteo Sommacal , Francesco Calogero

We study Nielsen's circuit complexity in a periodic harmonic oscillator chain, under single and multiple quenches. In a multiple quench scenario, it is shown that the complexity shows remarkably different behaviour compared to the other…

Quantum Physics · Physics 2023-06-07 Kuntal Pal , Kunal Pal , Ankit Gill , Tapobrata Sarkar

We use the complexity=volume (CV) prescription to study the effect of a magnetic field on the computational complexity for states in the gauge theories dual to two different gravitational models. In one of these theories the complexity…

High Energy Physics - Theory · Physics 2023-07-27 Daniel Ávila , César Díaz , Leonardo Patiño

We study holographic entanglement entropy for certain logarithmic conformal field theories by making use of their gravity descriptions. The corresponding gravity descriptions are provided by higher derivative gravity at critical points…

High Energy Physics - Theory · Physics 2014-05-14 Mohsen Alishahiha , Amin Faraji Astaneh , M. Reza Mohammadi Mozaffar

Following arXiv:2210.12963 [hep-th], we investigate aspects of the time evolution operator regarded as a density operator and associated entanglement-like structures in various quantum systems. These involve timelike separations and…

High Energy Physics - Theory · Physics 2024-04-29 K. Narayan , Hitesh K. Saini

The quantum extremal island rule allows us to compute the Page curves of Hawking radiation in semi-classical gravity. In this work, we study the connection between these calculations and the thermalisation of chaotic quantum many-body…

High Energy Physics - Theory · Physics 2024-12-20 Hanzhi Jiang , Mike Blake , Anthony P. Thompson

With the purpose of modelling the process of mountain building, we investigate the evolution of the ridge produced by the convergent motion of a system consisting of two layers of liquids that differ in density and viscosity to simulate the…

Geophysics · Physics 2010-06-14 Carlos Alberto Perazzo , Julio Gratton

We consider variational problems that model the bending behavior of curves that are constrained to belong to given hypersurfaces. Finite element discretizations of corresponding functionals are justified rigorously via Gamma-convergence.…

Numerical Analysis · Mathematics 2020-04-24 Sören Bartels

In this paper I propose a branch point twist field approach to computing a temporal entropy, that is, an entanglement measure across different time regions, as opposed to the usual spacial measures. I discuss how the shift to…

High Energy Physics - Theory · Physics 2026-03-24 Olalla A. Castro-Alvaredo

We review the conformal field theory approach to entanglement entropy. We show how to apply these methods to the calculation of the entanglement entropy of a single interval, and the generalization to different situations such as finite…

Statistical Mechanics · Physics 2009-12-08 Pasquale Calabrese , John Cardy

In the past, the study of the divergence structure of the holographic entanglement entropy on singular boundary regions uncovered cut-off independent coefficients. These coefficients were shown to be universal and to encode important field…

High Energy Physics - Theory · Physics 2019-03-27 Elena Caceres , Ming-Lei Xiao

The dynamics of an entangled atomic system in a partial interaction with entangled cavity fields, characterizing an entanglement swapping, have been studied through the use of Von Neuman entropy. We consider the interaction via two-photon…

Quantum Physics · Physics 2015-05-18 Wen-Chao Qiang , W. B. Cardoso , Xin-Hui Zhang

We study the holographic entanglement entropy for singular surfaces in theories described holographically by hyperscaling violating backgrounds. We consider singular surfaces consisting of cones or creases in diverse dimensions. The…

High Energy Physics - Theory · Physics 2015-10-28 Mohsen Alishahiha , Amin Faraji Astaneh , Piermarco Fonda , Farzad Omidi

We compute the time-dependent entanglement entropy of a CFT which starts in relatively simple initial states. The initial states are the thermofield double for thermal states, dual to eternal black holes, and a particular pure state, dual…

High Energy Physics - Theory · Physics 2015-06-15 Thomas Hartman , Juan Maldacena

We will explore the dynamical property of non-equilibrium phenomena induced by two-dimensional holographic conformal field theory (2d holographic CFT) Hamiltonian on the curved spacetime by studying the time dependence of the entanglement…

High Energy Physics - Theory · Physics 2024-12-31 Chen Bai , Akihiro Miyata , Masahiro Nozaki

It is well-known that entanglement entropy in field theory at its ground state is dominated by an area law term, presenting a similarity to the entropy of black holes. It is interesting to investigate whether this similarity can be extended…

High Energy Physics - Theory · Physics 2022-06-14 Dimitrios Katsinis , Georgios Pastras

We derive dynamics of the entanglement wedge cross section directly from the two-dimensional holographic CFTs with a local operator quench. This derivation is based on the reflected entropy, a correlation measure for mixed states. We…

High Energy Physics - Theory · Physics 2021-03-17 Yuya Kusuki , Kotaro Tamaoka

We investigate the information paradox in the four-dimensional Kerr-Newman black hole by employing the recently proposed island paradigm. We first consider the quantum field in the four-dimensional Kerr-Newman spacetime. By employing the…

High Energy Physics - Theory · Physics 2025-11-07 Ming-Hui Yu , Xian-Hui Ge

In this work, we consider two spins initially prepared in a product of coherent states and study their entanglement dynamics due to a general interacting Hamiltonian. We adopt an approach that allowed the derivation of a semiclassical…

Quantum Physics · Physics 2021-11-03 Matheus V. Scherer , Alexandre D. Ribeiro