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We compute the entanglement entropy for some quantum field theories on de Sitter space. We consider a superhorizon size spherical surface that divides the spatial slice into two regions, with the field theory in the standard vacuum state.…

High Energy Physics - Theory · Physics 2015-06-11 Juan Maldacena , Guilherme L. Pimentel

We study the momentum-space entanglement between the sub- and super-Hubble modes of a spectator scalar field, with a cubic $\lambda \phi^3$ interaction, in de Sitter space. Momentum-space entanglement has some universal properties for any…

High Energy Physics - Theory · Physics 2023-02-28 Suddhasattwa Brahma , Jaime Calderón-Figueroa , Moatasem Hassan , Xuan Mi

We study the entanglement entropy of a free massive scalar field at its ground state in (3+1)-dimensional AdS space in global coordinates. We consider spherical entangling surfaces centered at the origin of AdS. We determine the structure…

High Energy Physics - Theory · Physics 2025-05-23 Konstantinos Boutivas , Dimitrios Katsinis , Ioannis Papadimitriou , Georgios Pastras , Nikolaos Tetradis

We consider the entanglement entropy of a free massive scalar field in the one parameter family of $\alpha$-vacua in de Sitter space by using a method developed by Maldacena and Pimentel. An $\alpha$-vacuum can be thought of as a state…

High Energy Physics - Theory · Physics 2014-12-09 Sugumi Kanno , Jeff Murugan , Jonathan P. Shock , Jiro Soda

We calculate Sorkin's manifestly covariant entanglement entropy $\mathcal{S}$ for a massive and massless minimally coupled free Gaussian scalar field for the de Sitter horizon and Schwarzschild de Sitter horizons respectively in $d > 2$. In…

General Relativity and Quantum Cosmology · Physics 2022-01-25 Abhishek Mathur , Sumati Surya , Nomaan X

We review the results of refs. [1,2], in which the entanglement entropy in spaces with horizons, such as Rindler or de Sitter space, is computed using holography. This is achieved through an appropriate slicing of anti-de Sitter space and…

High Energy Physics - Theory · Physics 2021-08-18 Nikolaos Tetradis

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 generalize the analysis of arXiv:1210.7244 to de Sitter space \alpha-vacua and compute the entanglement entropy of a free scalar for the half-sphere at late time.

High Energy Physics - Theory · Physics 2016-07-26 Norihiro Iizuka , Toshifumi Noumi , Noriaki Ogawa

In this paper we study various aspects of entanglement entropy in strongly-coupled de Sitter quantum field theories in various dimensions. We find gravity solutions that are dual to field theories in a fixed de Sitter background, both in…

High Energy Physics - Theory · Physics 2014-07-08 Willy Fischler , Sandipan Kundu , Juan F. Pedraza

We investigate quantum entanglement between two symmetric spatialregions in de Sitter space with the Bunch-Davies vacuum. As a discretized model of the scalar field for numerical simulation, we consider a harmonic chain model. Using the…

General Relativity and Quantum Cosmology · Physics 2018-07-12 Akira Matsumura , Yasusada Nambu

We compute the entanglement entropy of a free massive Dirac field between two causally disconnected open charts in de Sitter space. We first derive the Bunch-Davies vacuum mode functions of the Dirac field. We find there exists no…

High Energy Physics - Theory · Physics 2017-05-22 Sugumi Kanno , Misao Sasaki , Takahiro Tanaka

The holographic entanglement entropy is computed for an entangling surface that coincides with the horizon of a boundary de Sitter metric. This is achieved through an appropriate slicing of anti-de Sitter space and the implementation of a…

High Energy Physics - Theory · Physics 2020-06-17 Nikolaos Tetradis

We develop a general framework to compute the scaling of entanglement entropy in inhomogeneous one-dimensional quantum systems belonging to the Luttinger liquid universality class. While much insight has been gained in homogeneous systems…

Statistical Mechanics · Physics 2020-03-26 Alvise Bastianello , Jérôme Dubail , Jean-Marie Stéphan

Studies of quantum field entanglement in de Sitter space based on the von Neumann entropy of local patches have concluded that curvature enhances entanglement between regions and their complements. Similar conclusions about entanglement…

General Relativity and Quantum Cosmology · Physics 2026-03-04 Patricia Ribes-Metidieri , Ivan Agullo , Béatrice Bonga

Entanglement entropy (EE) of a spatial region quantifies correlations between the region and its surroundings. For a free scalar in the adiabatic vacuum in de Sitter space the EE is known to remain low, scaling as the surface area of the…

High Energy Physics - Theory · Physics 2020-01-08 Sergei Khlebnikov , Akhil Sheoran

We investigate the entanglement entropy of a massive scalar field nonminimally coupled to spacetime curvature, assuming a static, spherically symmetric background. We discretize the field Hamiltonian by introducing a lattice of spherical…

General Relativity and Quantum Cosmology · Physics 2025-02-24 Alessio Belfiglio , Orlando Luongo , Stefano Mancini

We compute entanglement entropy for free massive scalar fields in anti-de Sitter (AdS) space. The entangling surface is a minimal surface whose boundary is a sphere at the boundary of AdS. The entropy can be evaluated from the thermal free…

High Energy Physics - Theory · Physics 2017-11-22 Sotaro Sugishita

We explore quantum entanglement between two causally disconnected regions in the multiverse. We first consider a free massive scalar field, and compute the entanglement negativity between two causally separated open charts in de Sitter…

High Energy Physics - Theory · Physics 2015-07-20 Sugumi Kanno , Jonathan P. Shock , Jiro Soda

We argue that the notion of entanglement in de Sitter space arises naturally from the non-trivial Lorentzian geometry of the spacetime manifold, which consists of two disconnected boundaries and a causally disconnected interior. In four…

High Energy Physics - Theory · Physics 2019-12-10 Cesar Arias , Felipe Diaz , Per Sundell

We consider the contribution to the entropy from fields in the background of a curved time-independent metric. To account for the curvature of space, we postulate a position-dependent UV cutoff. We argue that a UV cutoff on energy naturally…

High Energy Physics - Theory · Physics 2009-11-07 Lisa Randall , Veronica Sanz , Matthew D. Schwartz
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