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We compute the two-point correlation function of the area operator for semiclassical states of loop quantum gravity in the limit of large spins. The cases of intrinsic and extrinsic coherent states are considered, along with a new class of…

General Relativity and Quantum Cosmology · Physics 2025-10-29 Filipe H. C. Menezes , Nelson Yokomizo

Several recent results have hinted that black hole thermodynamics in loop quantum gravity simplifies if one chooses an imaginary Barbero-Immirzi parameter $\gamma=i$. This suggests a connection with $\mathrm{SL}(2,\mathbb{C})$ or…

General Relativity and Quantum Cosmology · Physics 2015-08-06 S. Carlip

We review several properties of thermal states of spin Hamiltonians with short range interactions. In particular, we focus on those aspects in which the application of tools coming from quantum information theory has been specially…

Quantum Physics · Physics 2019-05-01 Martin Kliesch , Arnau Riera

We show that long-distance steady-state quantum correlations (entanglement) between pairs of cavity-atom systems in an array of lossy and driven coupled resonators can be established and controlled. The maximal of entanglement for any pair…

Quantum Physics · Physics 2015-03-19 Li Dai , Dimitris G. Angelakis , Leong Chuan Kwek , S. Mancini

In this paper we discuss a proposal of coherent states for Loop Quantum Gravity. These states are labeled by a point in the phase space of General Relativity as captured by a spin-network graph. They are defined as the gauge invariant…

General Relativity and Quantum Cosmology · Physics 2010-09-20 Eugenio Bianchi , Elena Magliaro , Claudio Perini

In this paper we will consider quantum aspects of a non-local, infinite-derivative scalar field theory - a $\it toy \, model$ depiction of a covariant infinite-derivative, non-local extension of Einstein's general relativity which has…

High Energy Physics - Theory · Physics 2016-09-09 Spyridon Talaganis , Tirthabir Biswas , Anupam Mazumdar

We introduce a class of states characterized by proposed conditions of homogeneity and isotropy in loop quantum gravity and construct concrete examples given by Bell-network states on a special class of homogeneous graphs. Such states…

General Relativity and Quantum Cosmology · Physics 2023-03-29 Bekir Baytas , Nelson Yokomizo

We study the cluster properties of thermal equilibrium states in theories with a maximal propagation velocity (such as relativistic QFT). Our analysis, carried out in the setting of algebraic quantum field theory, shows that there is a…

High Energy Physics - Theory · Physics 2007-05-23 Christian Jaekel

The vacuum correlations of the gravitational field are highly non-trivial to be defined and computed, as soon as their arguments and indices do not belong to a background but become dynamical quantities. Their knowledge is essential however…

High Energy Physics - Theory · Physics 2015-06-26 G. Modanese

Gravity is perturbatively renormalizable for the physical states which can be conveniently defined via foliation-based quantization. In recent sequels, one-loop analysis was explicitly carried out for Einstein-scalar and Einstein-Maxwell…

High Energy Physics - Theory · Physics 2021-11-12 I. Y. Park

In this work, we analyse the thermodynamical behavior of massive and massless particles within Loop Quantum Gravity formalism. We investigate a modified dispersion relation which suffices to derive all our results of interest in an…

General Relativity and Quantum Cosmology · Physics 2022-10-19 A. A. Araújo Filho

Frustrated spin models may lead to the formation of both classical non-collinear spin structures and unique quantum phases including highly entangled quantum spin liquids. Here, we study the entanglement and spatial quantum correlations in…

Strongly Correlated Electrons · Physics 2025-05-29 Levente Rózsa , Dennis Wuhrer , Sebastián A. Díaz , Ulrich Nowak , Wolfgang Belzig

A new approximation scheme for nonperturbative renormalisation group equations for quantum gravity is introduced. Correlation functions of arbitrarily high order can be studied by resolving the full dependence of the renormalisation group…

High Energy Physics - Theory · Physics 2018-05-16 Benjamin Knorr

It is shown how quantum field theory at finite temperature can be used to set up self-consistent and gauge invariant equations for cosmological perturbations sustained by an ultrarelativistic plasma. While in the collisionless case, the…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Anton K. Rebhan

This paper investigates the local quantum correlations (LQU), including entanglement, of two gravitational cat states subjected to an inhomogeneous magnetic field. We derived the LQU expression from the physical quantities associated with…

We summarize recent developments at the interface of quantum gravity and quantum information, and discuss applications to the quantum geometry of space in loop quantum gravity. In particular, we describe the notions of link entanglement,…

General Relativity and Quantum Cosmology · Physics 2023-08-23 Eugenio Bianchi , Etera R. Livine

An upper bound of the relative entanglement entropy of thermal states at an inverse temperature $\beta$ of linear, massive Klein-Gordon and Dirac quantum field theories across two regions, separated by a nonzero distance $d$ in a Cauchy…

Mathematical Physics · Physics 2020-02-25 Onirban Islam

In this Chapter we illustrate the close connection between the violation of the weak equivalence principle typical of gravitational interactions at finite temperature, and similar violations induced by a breaking of the local Lorentz…

General Relativity and Quantum Cosmology · Physics 2023-02-13 M. Gasperini

Black hole entropy is one of the few windows toward the quantum aspects of gravitation and its study over the years have highlighted the holographic nature of gravity. At the non-perturbative level in quantum gravity, promising explanations…

General Relativity and Quantum Cosmology · Physics 2018-02-14 Alexandre Feller , Etera R. Livine

Entanglement is a special feature of the quantum world that reflects the existence of subtle, often non-local, correlations between local degrees of freedom. In topological theories such non-local correlations can be given a very intuitive…

High Energy Physics - Theory · Physics 2020-01-31 D. Melnikov , A. Mironov , S. Mironov , A. Morozov , An. Morozov
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