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We investigate the relation between the time-ordered vacuum correlation functions for interacting real scalar fields in Minkowski spacetime and in the Rindler wedge. The correlation functions are constructed perturbatively within the in-in…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Atsushi Higuchi , William C. C. Lima

The master equation describing the completely positive time evolution of a uniformly accelerated two-level system in weak interaction with a scalar field in the Minkowski vacuum is derived and explicitly solved. It encodes the well known…

Quantum Physics · Physics 2007-05-23 F. Benatti , R. Floreanini

In the framework of the general boundary formulation (GBF) of scalar quantum field theory we obtain a coincidence of expectation values of local observables in the Minkowski vacuum and in a particular state in Rindler space. This…

High Energy Physics - Theory · Physics 2013-03-19 Daniele Colosi , Dennis Raetzel

We demonstrate entanglement generation between mode pairs of a quantum field in a nonuniformly accelerated cavity in Minkowski space-time. The effect is sensitive to the initial state, the choice of the mode pair and bosonic versus…

Quantum Physics · Physics 2012-04-20 Nicolai Friis , David Edward Bruschi , Jorma Louko , Ivette Fuentes

Ultracold fermionic atoms in an optical lattice, with a sudden position-dependent change (a quench) in the effective dispersion relation, have been proposed by Rodr\'iguez-Laguna et al. as an analogue spacetime test of the Unruh effect. We…

General Relativity and Quantum Cosmology · Physics 2018-10-05 Jorma Louko

It is shown using both conventional and algebraic approach to quantum field theory that it is impossible to perform quantization on Unruh modes in Minkowski spacetime. Such quantization implies setting boundary condition for the quantum…

High Energy Physics - Theory · Physics 2016-09-06 A. M. Fedotov , V. D. Mur , N. B. Narozhny , V. A. Belinskii , B. M. Karnakov

A longstanding enigma within AdS/CFT concerns the entanglement entropy of holographic quantum fields in Rindler space. The vacuum of a quantum field in Minkowski spacetime can be viewed as an entangled thermofield double of two Rindler…

High Energy Physics - Theory · Physics 2024-03-19 Roberto Emparan , Javier M. Magan

The Unruh and Hawking effects are investigated on certain families of topologically non-trivial spacetimes using a variety of techniques. First we present the Bogolubov transformation between Rindler and Minkowski quantizations on two flat…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Paul Langlois

Minkowski vacuum is empty from the perspective of Unruh-Minkowski photons, however, in the Rindler picture, it is filled with entangled pairs of Rindler photons. A ground-state atom uniformly accelerated through Minkowski vacuum can become…

Quantum Physics · Physics 2026-03-31 Anatoly A. Svidzinsky , Marlan O. Scully , William Unruh

We consider the conformal scalar field theory with $\lambda \phi^4$ self-interaction in Rindler and Minkowskian coordinates at finite temperature planckian distribution for the exact modes. The solution of the one-loop Dyson-Schwinger…

High Energy Physics - Theory · Physics 2023-01-19 D. V. Diakonov , K. V. Bazarov

We revisit the Unruh effect within a general framework based on direct, probability-level calculations. We rederive the transition rate of a uniformly accelerating Unruh-DeWitt monopole detector coupled to a massive scalar field, from both…

High Energy Physics - Theory · Physics 2025-01-13 Robert Dickinson , Jeff Forshaw , Ross Jenkinson , Peter Millington

We estimate the transition rates of a uniformly accelerated Unruh-DeWitt detector coupled to a quantum field with reflecting conditions on a boundary plane (a "mirror"). We find that these are essentially indistinguishable from the usual…

General Relativity and Quantum Cosmology · Physics 2012-08-27 Carlo Rovelli , Matteo Smerlak

We investigate quantum field theory in Rindler space with a UV cutoff by considering a free scalar field on a lattice in Rindler coordinates. We find that the Minkowski vacuum is not exactly thermal with respect to the local lattice Rindler…

High Energy Physics - Theory · Physics 2026-04-10 Seiken Chikazawa , Seiji Terashima

Utilizing quantum coherence monotone, we reexamine the thermal nature of the Unruh effect of an accelerating detector. We consider an UDW detector coupling to a n-dimensional conformal field in Minkowski spacetime, whose response spectrum…

High Energy Physics - Theory · Physics 2022-05-20 Jun Feng , Jing-Jun Zhang , Yihao Zhou

Quantum field theory (QFT) in Rindler spacetime is a gateway to understanding unitarity and information loss paradoxes in curved spacetime. Rindler coordinates map Minkowski spacetime onto regions with horizons, effectively dividing…

General Relativity and Quantum Cosmology · Physics 2024-12-17 K. Sravan Kumar , João Marto

We analyse the response of a spatially extended direction-dependent local quantum system, a detector, moving on the Rindler trajectory of uniform linear acceleration in Minkowski spacetime, and coupled linearly to a quantum scalar field. We…

General Relativity and Quantum Cosmology · Physics 2020-01-14 Sanved Kolekar

The Minkowski vacuum state is expressed as an entangled state between the left and right Rindler wedges when it is constructed on the Rindler vacuum. In this paper, we further examine the entanglement structure and extend the expression to…

High Energy Physics - Theory · Physics 2017-11-08 Atsushi Higuchi , Satoshi Iso , Kazushige Ueda , Kazuhiro Yamamoto

It has been proved in the context of quantum fields in Minkowski spacetime that the vacuum state is a thermal state according to uniformly accelerated observers -- a seminal result known as the Unruh effect. Recent claims, however, have…

General Relativity and Quantum Cosmology · Physics 2019-07-16 Cesar A. Uliana Lima , Frederico Brito , José A. Hoyos , Daniel A. T. Vanzella

The purpose of this review is to provide a pedagogical development of the Unruh effect and the thermofield double state. In Section 2, we construct Rindler spacetime and analyze the perspective of an observer undergoing constant…

High Energy Physics - Theory · Physics 2025-10-15 Gustavo Valdivia-Mera

We derive a master equation for the reduced density matrix of a uniformly accelerating quantum detector in arbitrary dimensions, generically coupled to a field initially in its vacuum state, and analyze its late time regime. We find that…

General Relativity and Quantum Cosmology · Physics 2021-09-06 Julio Arrechea , Carlos Barceló , Luis J. Garay , Gerardo García-Moreno