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Related papers: Entanglement Entropy as a Probe Beyond the Horizon

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We consider the universal part of entanglement entropy across a plane in flat space for a QFT, giving a non-perturbative expression in terms of a spectral function. We study the change in entanglement entropy under a deformation by a…

High Energy Physics - Theory · Physics 2015-06-22 Vladimir Rosenhaus , Michael Smolkin

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

We discuss entanglement entropy of gapped ground states in different dimensions, obtained on partitioning space into two regions. For trivial phases without topological order, we argue that the entanglement entropy may be obtained by…

Strongly Correlated Electrons · Physics 2011-12-12 Tarun Grover , Ari M. Turner , Ashvin Vishwanath

The entanglement entropy of a subsystem $A$ of a quantum system is expressed, in the replica method, through analytic continuation with respect to n of the trace of the n-th power of the reduced density matrix $\tr\rho_A^n$. We study the…

Statistical Mechanics · Physics 2010-03-25 F. Gliozzi , L. Tagliacozzo

A deSitter brane-world bounding regions of anti-deSitter space has a macroscopic entropy given by one-quarter the area of the observer horizon. A proposed variant of the AdS/CFT correspondence gives a dual description of this cosmology as…

High Energy Physics - Theory · Physics 2009-10-31 Stephen Hawking , Juan Maldacena , Andrew Strominger

The coefficient of the logarithmic term in the entropy on even spheres is re-computed by the local technique of integrating the finite temperature energy density up to the horizon on static d--dimensional de Sitter space and thence finding…

High Energy Physics - Theory · Physics 2010-09-29 J. S. Dowker

We study the entanglement entropy as a probe of the proximity effect of a superconducting system by using the gauge/gravity duality in a fully back-reacted gravity system. While the entanglement entropy in the superconducting phase is less…

High Energy Physics - Theory · Physics 2015-06-18 Xiao-Mei Kuang , Eleftherios Papantonopoulos , Bin Wang

We present some exact results about universal quantities derived from the local density matrix, for a free massive Dirac field in two dimensions. We first find the trace of powers of the density matrix in a novel fashion, which involves the…

Other Condensed Matter · Physics 2011-02-16 H. Casini , C. D. Fosco , M. Huerta

In this paper, we study the relation between entanglement and global internal symmetries on de Sitter space. We consider two symmetric causally disconnected regions in the hyperbolic chart on de Sitter space. Since entanglement measures…

High Energy Physics - Theory · Physics 2023-06-12 Himanshu Gaur , Urjit A. Yajnik

The basic equations of the thermodynamic system give the relationship between the internal energy, entropy and volume of two neighboring equilibrium states. By using the functional relationship between the state parameters in the basic…

General Relativity and Quantum Cosmology · Physics 2020-12-16 Xiong-Ying Guo , Ying Gao , Huai-Fan Li , Ren Zhao

We investigate the entanglement for a model of a particle moving in the lattice (many-body system). The interaction between the particle and the lattice is modelled using Hooke's law. The Feynman path integral approach is applied to compute…

Mathematical Physics · Physics 2014-06-26 Chisanupong Puttarprom , Sikarin Yoo-Kong , Monsit Tanasittikisol , Watchara Liewrian

We show that the entropy of de Sitter space in any dimension can be understood as the entropy of a highly excited string located near the horizon. The string tension is renormalized to $T \sim \Lambda$ due to the large gravitational…

High Energy Physics - Theory · Physics 2007-05-23 Edi Halyo

We note that the observable part of universe at a certain time t_P is necessarily limited, when there is a beginning of universe. We argue that an appropriate spacetime region associated with an observer from tI to t_P is the causal diamond…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Dongsu Bak

We investigate various aspects of capacity of entanglement in certain setups whose entanglement entropy becomes extensive and obeys a volume law. In particular, considering geometric decomposition of the Hilbert space, we study this measure…

High Energy Physics - Theory · Physics 2024-09-20 M. Reza Mohammadi Mozaffar

Entropy arises in strong interactions by a dynamical separation of ``partons'' from unobservable ``environment'' modes due to confinement. For interacting scalar fields we calculate the statistical entropy of the observable subsystem.…

High Energy Physics - Theory · Physics 2011-08-04 Hans-Thomas Elze

De Sitter spacetime is known to have a cosmological horizon that enjoys thermodynamic-like properties similar to those of a black hole horizon. In this note we show that a universal argument can be given for the entropy of de Sitter…

High Energy Physics - Theory · Physics 2009-10-31 Feng-Li Lin , Yong-Shi Wu

We consider entanglement in the ground state of the XY spin model on infinite chain. We use von Neumann entropy of a sub-system as a measure of entanglement. The entropy of a large block of neighboring spins approaches a constant as the…

Quantum Physics · Physics 2007-05-23 A. R. Its , B. -Q. Jin , V. E. Korepin

In this paper we seek to understand what current knowledge of entanglement entropies suggests about the appropriate way to interpret the covariant entropy bound. We first begin by arguing that just as in the classical case, a universal…

History and Philosophy of Physics · Physics 2024-07-31 Emily Adlam

Using Matrix theory, we propose a technique on how to compute the entangle- ment entropy between a supergravity probe and modes on a spherical membrane. We demonstrate that a membrane stretched between the probe and the sphere entangles…

High Energy Physics - Theory · Physics 2017-05-05 Vatche Sahakian

In this paper we explore how non trivial boundary conditions could influence the entanglement entropy in a topological order in 2+1 dimensions. Specifically we consider the special class of topological orders describable by the quantum…

High Energy Physics - Theory · Physics 2018-06-26 Chaoyi Chen , Ling-Yan Hung , Yingcheng Li , Yidun Wan
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