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Quantum field theory in curved spacetime is perhaps the most reliable framework in which one can investigate quantum effects in the presence of strong gravitational fields. Nevertheless, it is often studied by means of perturbative…

General Relativity and Quantum Cosmology · Physics 2023-05-30 Níckolas de Aguiar Alves

We use the Unruh effect to analyze the dynamics of classical and quantum correlations for a two-qubit system when one of them is uniformly accelerated for a finite amount of proper time. We show that the quantum correlation is completely…

Quantum Physics · Physics 2015-03-13 L. C. Celeri , A. G. S. Landulfo , R. M. Serra , G. E. A. Matsas

In the special case of a spherically symmetric solution of Einstein equations coupled to a scalar massless field, we examine the consequences on the exact solution imposed by a semiclassical treatment of gravitational interaction when the…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Sergio Doplicher , Gerardo Morsella , Nicola Pinamonti

We study the properties of quantum entanglement and teleportation in the background of stationary and rotating curved space-times with extra dimensions. We show that a maximally entangled Bell state in an inertial frame becomes less…

Quantum Physics · Physics 2008-11-26 Xian-Hui Ge , Sang Pyo Kim

In this series of papers we aim to provide a mathematically comprehensive framework to the Hamiltonian pictures of quantum field theory in curved spacetimes. Our final goal is to study the kinematics and the dynamics of the theory from the…

We study the scalar quantum field theory on a generic noncommutative two-sphere as a special case of noncommutative curved space, which is described by the deformation quantization algebra obtained from symplectic reduction and parametrized…

High Energy Physics - Theory · Physics 2007-05-23 Chengang Zhou

Coherent or semiclassical states in canonical quantum gravity describe the classical Schwarzschild space-time. By tracing over the coherent state wavefunction inside the horizon, a density matrix is derived. Bekenstein-Hawking entropy is…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Arundhati Dasgupta

For a quantum field in a curved background the choice of the vacuum state is crucial. We exhibit a vacuum state in which the expectation values of the energy and pressure allow an intuitive interpretation. We apply this general result to…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Carmen Molina-Paris

This work proposes a reconstruction of the quantum field theory (QFT) scattering framework: the path integral governs an interaction kernel region, while the Hilbert space encodes asymptotic free boundary conditions. We critically reexamine…

General Physics · Physics 2025-07-31 Xinmu Zong , Chunyu Huang

Within this chapter (published as [49]) we introduce the overall idea of the algebraic formalism of QFT on a fixed globally hyperbolic spacetime in the framework of unital $*$-algebras. We point out some general features of CCR algebras,…

Mathematical Physics · Physics 2017-10-04 Igor Khavkine , Valter Moretti

We consider the system of free scalar field, which is assumed to be a two-mode squeezed state from an inertial point of view. This setting allows the use of entanglement measure for continuous variables, which can be applied to discuss free…

Quantum Physics · Physics 2008-11-26 D. Ahn , M. S. Kim

We highlight some universal features concerning the role of spacetime curvature in the entanglement induced between quantum probes coupled to a quantum field in a suitable vacuum state. The probes are initially causally disconnected and…

General Relativity and Quantum Cosmology · Physics 2024-03-20 Hari K , Subhajit Barman , Dawood Kothawala

Quantum channel discrimination is used to test quantum field theory in non-inertial frames. We search for optimal strategies which can best see the thermality of the Unruh effect. We find that the usual strategy of counting particles in the…

Quantum Physics · Physics 2015-06-29 Jason Doukas , Gerardo Adesso , Stefano Pirandola , Andrzej Dragan

We present a new technique for computing entanglement harvesting with Unruh-DeWitt particle detectors. The method is particularly useful in cases where analytic solutions are rare and the Wightman function is known only via its mode…

Quantum Physics · Physics 2018-06-26 Keith K. Ng , Robert B. Mann , Eduardo Martin-Martinez

We study the quantum entanglement structure of integer quantum Hall states via the reduced density matrix of spatial subregions. In particular, we examine the eigenstates, spectrum and entanglement entropy (EE) of the density matrix for…

Strongly Correlated Electrons · Physics 2021-03-17 Benoit Sirois , Lucie Maude Fournier , Julien Leduc , William Witczak-Krempa

The heat-kernel expansion and $\zeta$-regularization techniques for quantum field theory and extended objects on curved space-times are reviewed. In particular, ultrastatic space-times with spatial section consisting in manifold with…

High Energy Physics - Theory · Physics 2011-08-17 A. A. Bytsenko , G. Cognola , L. Vanzo , S. Zerbini

We investigate the Unruh-Fulling effect in a class of nonlocal field theories by examining both the number operator and Unruh-DeWitt detector methods. Unlike in previous literature, we use Unruh quantization to quantize the matter field.…

High Energy Physics - Theory · Physics 2022-12-01 Ashmita Das , Bibhas Ranjan Majhi

Consider an arbitrary local quantum field theory with a gap or an arbitrary gapless free theory. We consider states in such a theory, that describe two entangled particles localized in disjoint regions of space. We show that in such a…

Quantum Physics · Physics 2016-09-13 Swapnamay Mondal

A general framework is described which associates geometrical structures to any set of $D$ finite-dimensional hermitian matrices $X^a, \ a=1,...,D$. This framework generalizes and systematizes the well-known examples of fuzzy spaces, and…

High Energy Physics - Theory · Physics 2023-02-09 Harold C. Steinacker

According to general relativity, trapping surfaces and horizons are classical causal structures that arise in systems with sharply defined energy and corresponding gravitational radius. The latter concept can be extended to a quantum…

General Relativity and Quantum Cosmology · Physics 2015-05-20 R. Casadio