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In this thesis I present numerical studies of entanglement entropy and the quantum null energy condition in strongly coupled far-from-equilibrium quantum states using holography. I give a careful introduction into the numerical methods used…

High Energy Physics - Theory · Physics 2018-10-03 Christian Ecker

We study entanglement entropy (EE) in conformal field theories (CFTs) in Minkowski space with a planar boundary or with a planar defect of any codimension. In any such boundary CFT (BCFT) or defect CFT (DCFT), we consider the reduced…

High Energy Physics - Theory · Physics 2013-11-27 Kristan Jensen , Andy O'Bannon

We propose a holographic realization of quantum quenches in two dimensional conformal field theories. In particular, we discuss time evolutions of holographic entanglement entropy in these backgrounds and compare them with CFT results. The…

High Energy Physics - Theory · Physics 2013-11-12 Tomonori Ugajin

We study extremal surfaces in a traversable wormhole geometry that connects two locally AdS$_5$ asymptotic regions. In the context of the AdS/CFT correspondence, we use these to compute the holographic entanglement entropy for different…

High Energy Physics - Theory · Physics 2022-07-04 Mariano Chernicoff , Gaston Giribet , Emilio Rubín de Celis

We consider quantum entanglement between gauge fields in some region of space A and its complement B. It is argued that the Hilbert space of physical states of gauge theories cannot be decomposed into a direct product of Hilbert spaces of…

High Energy Physics - Theory · Physics 2010-05-12 P. V. Buividovich , M. I. Polikarpov

This is an extended version of our short report hep-th/0603001, where a holographic interpretation of entanglement entropy in conformal field theories is proposed from AdS/CFT correspondence. In addition to a concise review of relevant…

High Energy Physics - Theory · Physics 2010-02-03 Shinsei Ryu , Tadashi Takayanagi

We study the entanglement entropy between a strip region with width $2R$ and its complement in strongly coupled large-$N$ conformal field theory (CFT) on $\mathbb{R}^{1,n}$ with chemical potential and angular momentum in an thermal…

High Energy Physics - Theory · Physics 2022-09-13 Po-Chun Sun

We study holographic entanglement entropy in four-dimensional quantum gravity with negative cosmological constant. By using the replica trick and evaluating path integrals in the minisuperspace approximation, in conjunction with the…

High Energy Physics - Theory · Physics 2020-04-15 Shinji Hirano

We investigate holographically the entanglement entropy of a nonconformal medium whose dual geometry is described by an Einstein-Maxwell-dilaton theory. Due to an additional conserved charge corresponding to the number operator, its…

High Energy Physics - Theory · Physics 2015-06-17 Chanyong Park

We reveal for the first time that ultraviolet (UV) observables can diagnose quantum phase transitions (QPTs). In a class of holographic models exhibiting metal-insulator transitions, we study two types of UV observables -- high-frequency…

High Energy Physics - Theory · Physics 2025-08-20 Fang-Jing Cheng , Zhe Yang , Yi Ling , Jian-Pin Wu , Zhou-Jian Cao , Peng Liu

Using holography, we study the entanglement entropy of strongly coupled field theories perturbed by operators that trigger an RG flow from a conformal field theory in the ultraviolet (UV) to a new theory in the infrared (IR). The…

High Energy Physics - Theory · Physics 2012-02-28 Tameem Albash , Clifford V. Johnson

In this paper, we describe some interesting properties of a non-Hermitian Jaynes-Cummings model. For this particular model, it is known that the Hilbert space can be described by infinitely-many two-dimensional invariant (closed) subspaces,…

Quantum Physics · Physics 2026-04-23 Gargi Das , Aritra Ghosh , Bhabani Prasad Mandal

We present a study of entanglement in the case of the 1D extended anisotropic Heisenberg model. We investigate two quantum phase transitions (QPTs) within the previously found ergodicity phase diagram [E. Plekhanov, A. Avella, and F.…

Mesoscale and Nanoscale Physics · Physics 2018-04-09 E. Plekhanov , A. Avella , F. Mancini

In this paper, we present holographic descriptions of entanglement phase transition using AdS/BCFT. First, we analytically calculate the holographic pseudo entropy in the AdS/BCFT model with a brane localized scalar field and show the…

High Energy Physics - Theory · Physics 2024-07-31 Hiroki Kanda , Taishi Kawamoto , Yu-ki Suzuki , Tadashi Takayanagi , Kenya Tasuki , Zixia Wei

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

Geometric measure of entanglement and geometric phase have recently been used to analyze quantum phase transition in the XY spin chain. We unify these two approaches by showing that the geometric entanglement and the geometric phase are…

Quantum Physics · Physics 2013-07-16 Vahid Azimi Mousolou , Carlo M. Canali , Erik Sjöqvist

In the long-standing quest to reconcile gravity with quantum mechanics, profound connections have been unveiled between concepts traditionally pertaining to quantum information theory, such as entanglement, and constitutive features of…

High Energy Physics - Theory · Physics 2022-06-28 Eugenia Colafranceschi , Gerardo Adesso

Sensitivity of entanglement Hamiltonian spectrum to boundary conditions is considered as a phase detection parameter for delocalized-localized phase transition. By employing one-dimensional models that undergo delocalized-localized phase…

Strongly Correlated Electrons · Physics 2017-07-25 Mohammad Pouranvari , Afshin Montakhab

In systems undergoing second order phase transitions, the temperature integral of the specific heat over temperature from zero to the critical temperature is the same in both the normal and ordered phases. This entropy balance relates the…

High Energy Physics - Theory · Physics 2015-06-09 Sean A. Hartnoll , Razieh Pourhasan

We investigate the Holographic Entanglement Entropy proposal in the context of the (3+1)-dimensional topological black hole. In contrast to the well-studied (2+1)-dimensional case, the maximal extension for this black hole includes only a…

High Energy Physics - Theory · Physics 2018-09-18 Zachary Polonsky , Alex Flournoy