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We study the entanglement entropy resulting from tracing out local degrees of freedom of a quantum scalar field in an expanding universe. It is known that when field modes become superhorizon during inflation they evolve to increasingly…

High Energy Physics - Theory · Physics 2023-10-30 Konstantinos Boutivas , Georgios Pastras , Nikolaos Tetradis

A scalar field in the ground state, when partially hidden from observation by a spherical boundary, acquires entanglement entropy $S$ proportional to the area of the surface. This area law is well established in flat space, where it follows…

Quantum Physics · Physics 2013-10-01 Katja Ried

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

The entanglement entropy of a free scalar field in its ground state is dominated by an area law term. It is noteworthy, however, that the study of entanglement in scalar field theory has not advanced far beyond the ground state. In this…

High Energy Physics - Theory · Physics 2023-11-16 Dimitrios Katsinis , Georgios Pastras , Nikolaos Tetradis

The ground state entanglement of the system, both in discrete-time and continuous-time cases, is quantified through the linear entropy. The result shows that the entanglement increases as the interaction between the particles increases in…

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 time evolution of the entropy of a collapsing spherical domain wall, from the point of view of an asymptotic observer, by investigating the entropy of the entire system (i.e. domain wall and radiation) and induced radiation…

General Relativity and Quantum Cosmology · Physics 2009-07-22 Eric Greenwood

We study the unitary time evolution of the entropy of entanglement of a one-dimensional system between the degrees of freedom in an interval of length l and its complement, starting from a pure state which is not an eigenstate of the…

Statistical Mechanics · Physics 2011-02-16 Pasquale Calabrese , John Cardy

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 compute the entanglement entropy across a Rindler horizon in scalar field theory with Yukawa interaction. Starting from a microscopic scalar-mediator theory in flat spacetime, we integrate out the massive mediator to obtain a quadratic…

High Energy Physics - Theory · Physics 2026-02-12 Akshay Kulkarni , Rahul Nigam

We consider scalar field entanglement entropy generated with black hole of (sub)planck mass scale thus implying the unitary evolution of gravity. The dependence on the dimension of the Hilbert space for degrees of freedom located behind the…

General Relativity and Quantum Cosmology · Physics 2013-05-20 Maksym Teslyk , Olena Teslyk

We study the time evolution of entanglement entropy and entanglement spectrum in a finite-size system which crosses a quantum phase transition at different speeds. We focus on the Ising model with a time-dependent magnetic field, which is…

Statistical Mechanics · Physics 2015-06-17 Elena Canovi , Elisa Ercolessi , Piero Naldesi , Luca Taddia , Davide Vodola

We revisit the problem of finding the entanglement entropy of a scalar field on a lattice by tracing over its degrees of freedom inside a sphere. It is known that this entropy satisfies the area law -- entropy proportional to the area of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Saurya Das , S. Shankaranarayanan

We review aspects of the thermodynamics of black holes and in particular take into account the fact that the quantum entanglement between the degrees of freedom of a scalar field, traced inside the event horizon, can be the origin of black…

General Relativity and Quantum Cosmology · Physics 2016-07-28 Saurya Das , S. Shankaranarayanan , Sourav Sur

We discuss the behavior of the entanglement entropy of the ground state in various collective systems. Results for general quadratic two-mode boson models are given, yielding the relation between quantum phase transitions of the system…

Statistical Mechanics · Physics 2011-02-16 J. Vidal , S. Dusuel , T. Barthel

Understanding the dependence of entanglement entropy on the renormalized mass in quantum field theories can provide insight into phenomena such as quantum phase transitions, since the mass varies in a singular way near the transition. Here…

High Energy Physics - Theory · Physics 2012-12-11 Mark P. Hertzberg

We investigate the entanglement entropy of a massive scalar field using the spherical shell lattice model introduced by Das and Shankaranarayanan. A systematic numerical analysis is performed to study the dependence of the entropy on the…

High Energy Physics - Theory · Physics 2026-04-02 S. Bellucci , M. Shatnev , L. Zazunov

We study dynamics of quantum entanglement in smooth global quenches with a finite rate, by computing the time evolution of entanglement entropy in 1 + 1 dimensional free scalar theory with time-dependent masses which start from a nonzero…

High Energy Physics - Theory · Physics 2018-01-15 Mitsuhiro Nishida , Masahiro Nozaki , Yuji Sugimoto , Akio Tomiya

It has been argued that the entropy which one is computing in the isolated horizon framework of loop quantum gravity is closely related to the entanglement entropy of the gravitational field and that the calculation performed is not…

General Relativity and Quantum Cosmology · Physics 2014-11-25 Norbert Bodendorfer

The scaling behavior of the entanglement entropy in the two-dimensional random transverse field Ising model is studied numerically through the strong disordered renormalization group method. We find that the leading term of the entanglement…

Disordered Systems and Neural Networks · Physics 2009-11-13 Rong Yu , Hubert Saleur , Stephan Haas
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