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The entanglement entropy of a free field in de Sitter space is enhanced by the squeezing of its modes. We show analytically that the expansion induces a term in the entanglement entropy that depends logarithmically on the size of the…

High Energy Physics - Theory · Physics 2024-07-11 Konstantinos Boutivas , Dimitrios Katsinis , Georgios Pastras , Nikolaos Tetradis

We review aspects of black hole thermodynamics, and show how entanglement of a quantum field between the inside and outside of a horizon can account for the area-proportionality of black hole entropy, provided the field is in its ground…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Saurya Das , S. Shankaranarayanan

Entanglement entropy first arose from attempts to understand the entropy of black holes, and is believed to play a crucial role in a complete description of quantum gravity. This thesis explores some proposed connections between…

High Energy Physics - Theory · Physics 2018-08-14 Antony J. Speranza

We construct a field theory for dissipative systems using a hypercomplex ring formalism that reproduces naturally the effective doubling field formulation of dissipative systems of thermal field theory. The system is quantized by a…

Mathematical Physics · Physics 2023-06-13 R. Cartas-Fuentevilla , O. Cruz-Limón , C. Ramírez-Romero

The calculation of entanglement entropy S of quantum fields in spacetimes with horizon shows that, quite generically, S (a) is proportional to the area A of the horizon and (b) is divergent. I argue that this divergence, which arises even…

General Relativity and Quantum Cosmology · Physics 2010-12-24 T. Padmanabhan

We consider the computation of the entanglement entropy in curved backgrounds with event horizons. We use a Hamiltonian approach to the problem and perform numerical computations on a spherical lattice of spacing $a$. We study the…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Rainer Mueller , Carlos O. Lousto

We compute the entanglement entropy of a massless spin $2$ field in a sphere in flat Minkowski space. We describe the theory with a linearized metric perturbation field $h_{\mu\nu}$ and decompose it in tensor spherical harmonics. We fix the…

High Energy Physics - Theory · Physics 2020-02-12 Valentin Benedetti , Horacio Casini

We propose a definition for the entanglement entropy of a gauge theory on a spatial lattice. Our definition applies to any subset of links in the lattice, and is valid for both Abelian and Non-Abelian gauge theories. For $\mathbb{Z}_N$ and…

High Energy Physics - Theory · Physics 2015-09-21 Sudip Ghosh , Ronak M. Soni , Sandip P. Trivedi

The purpose of this study is to calculate the entanglement measure for a bipartite system where the two subsystems interact via a central potential, and more importantly, to analyze the conceptual implication in the case of gravitational…

Quantum Physics · Physics 2020-06-16 Jianhao M. Yang

We calculate the entanglement of formation and the entanglement of distillation for arbitrary mixtures of the zero spin states on an arbitrary-dimensional bipartite Hilbert space. Such states are relevant to quantum black holes and to…

Quantum Physics · Physics 2007-05-23 Etera R. Livine , Daniel R. Terno

Assuming that the dominant contribution, to the entropy due to entanglement across a spherical hypersurface, comes from the near horizon degrees of freedom, we analytically derive the entropy of a free massless scalar field in Minkowski…

General Relativity and Quantum Cosmology · Physics 2015-08-19 Suman Ghosh

We investigate the behavior of the entanglement entropy of space in the primordial phase of the universe before the beginning of cosmic inflation. We argue that in this phase the entanglement entropy of a region of space grows from a…

General Relativity and Quantum Cosmology · Physics 2015-12-31 Eugenio Bianchi , Lucas Hackl , Nelson Yokomizo

It has been suggested in recent work that the Page curve of Hawking radiation can be recovered using computations in semi-classical gravity provided one allows for "islands" in the gravity region of quantum systems coupled to gravity. The…

High Energy Physics - Theory · Physics 2020-07-01 Ahmed Almheiri , Raghu Mahajan , Jorge E. Santos

We use the conformal invariance and the holographic correspondence to fully specify the dependence of entanglement entropy on the extrinsic geometry of the 2d surface $\Sigma$ that separates two subsystems of quantum strongly coupled…

High Energy Physics - Theory · Physics 2008-11-26 Sergey N. Solodukhin

Entanglement entropy appears as a central property of quantum systems in broad areas of physics. However, its precise value is often sensitive to unknown microphysics, rendering it incalculable. By considering parametric dependence on…

High Energy Physics - Theory · Physics 2011-02-09 Mark P. Hertzberg , Frank Wilczek

We consider multiverse models in two-dimensional linear dilaton-gravity theories as toy models of false vacuum eternal inflation. Coupling conformal matter we calculate the Von Neumann entropy of subregions. When these are sufficiently…

We construct entangled microstates of a pair of holographic CFTs whose dual semiclassical description includes big bang-big crunch AdS cosmologies in spaces without boundaries. The cosmology is supported by inhomogeneous heavy matter and it…

High Energy Physics - Theory · Physics 2025-07-15 Stefano Antonini , Martin Sasieta , Brian Swingle

We analyze the entanglement of a Schwinger pair created by a time-dependent pulse. In the semi-classical approximation, the pair creation by a pulse of external electric field is captured by a periodic worldline instanton. At strong gauge…

High Energy Physics - Theory · Physics 2023-12-20 Sebastian Grieninger , Dmitri E. Kharzeev , Ismail Zahed

The renormalization of entanglement entropy of quantum field theories is investigated in the simplest setting with a $\lambda \phi^4$ scalar field theory. The 3+1 dimensional spacetime is separated into two regions by an infinitely flat…

High Energy Physics - Theory · Physics 2017-09-19 Jiunn-Wei Chen , Jin-Yi Pang

We study the dynamics of vacuum entanglement in the process of gravitational collapse and subsequent black hole evaporation. In the first part of the paper, we introduce a covariant regularization of entanglement entropy tailored to curved…

High Energy Physics - Theory · Physics 2015-07-16 Eugenio Bianchi , Tommaso De Lorenzo , Matteo Smerlak