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These pedagogical notes are dedicated to a derivation of the Unruh effect. There is special emphasis on the transparency of the arguments and the exhibition of detailed calculations. We assume the reader has a basic knowledge of quantum…

General Relativity and Quantum Cosmology · Physics 2018-10-16 Ernesto Frodden , Nicolás Valdés

This article is motivated by the observation, that calculations of the Unruh effect based on idealized particle detectors are usually made in a way that involves integrations along the {\em entire} detector trajectory up to the infinitely…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Sebastian Schlicht

We find that a uniformly accelerated particle detector coupled to the vacuum can cool down as its acceleration increases, due to relativistic effects. We show that in (1+1)-dimensions, a detector coupled to the scalar field vacuum for…

Quantum Physics · Physics 2016-05-04 Wilson G. Brenna , Robert B. Mann , Eduardo Martin-Martinez

We study the Anti-Unruh effect in general stationary scenarios. We find that, for accelerated trajectories, a particle detector coupled to a KMS state of a quantum field can cool down (click less often) as the KMS temperature increases.…

Quantum Physics · Physics 2017-01-03 Luis J. Garay , Eduardo Martin-Martinez , Jose de Ramon

It has been thirty years since the discovery of the Unruh effect. It has played a crucial role in our understanding that the particle content of a field theory is observer dependent. This effect is important in its own right and as a way to…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Luis C. B. Crispino , Atsushi Higuchi , George E. A. Matsas

We discuss some common misconceptions in Unruh effect and Unruh radiation for the cases of linear and circular uniform acceleration of a charged particle or detector moving in a quantum field. We point to the need to go beyond Unruh effect…

Quantum Physics · Physics 2007-05-23 B. L. Hu , Philip R. Johnson

We give a general description of the system evolution under the interaction between qubit and quantum field theory up to the second order perturbation, which is also referred to as the simplified model of light-matter interaction. The…

General Relativity and Quantum Cosmology · Physics 2024-10-17 Hao Xu

We consider field quantization on an arbitrary null hypersurface in curved spacetime. We discuss the de Sitter horizon as the simplest example, relating the horizon quantization to the standard Fock space in the cosmological patch. We…

High Energy Physics - Theory · Physics 2015-07-16 Illan Halpern , Yasha Neiman

We address on general quantum-statistical grounds the problem of optimal detection of the Unruh-Hawking effect. We show that the effect signatures are magnified up to potentially observable levels if the scalar field to be probed has high…

Quantum Physics · Physics 2010-10-27 Mariona Aspachs , Gerardo Adesso , Ivette Fuentes

We identify the relativistic-fluid counterpart of the Unruh effect, in which a comoving probe measures a Thermodynamic Unruh temperature. Frame changes in first-order hydrodynamics are recast as a local, time-dependent hyperbolic rotation…

General Relativity and Quantum Cosmology · Physics 2025-11-27 Eren Erberk Erkul

We extend the calculation of the Unruh effect to the universality classes of quantum vacua obeying topologically protected invariance under anisotropic scaling ${\bf r} \rightarrow b {\bf r}$, $t \rightarrow b^z t$. Two situations are…

Mesoscale and Nanoscale Physics · Physics 2013-07-02 M. I. Katsnelson , G. E. Volovik , M. A. Zubkov

How long does a uniformly accelerated observer need to interact with a quantum field in order to record thermality in the Unruh temperature? We address this question for a pointlike Unruh-DeWitt detector, coupled linearly to a real…

General Relativity and Quantum Cosmology · Physics 2016-07-20 Christopher J. Fewster , Benito A. Juárez-Aubry , Jorma Louko

The Unruh effect is the prediction that an accelerating object perceives its surroundings as a bath of thermal radiation even if it accelerates in vacuum. The Unruh effect is believed to be very difficult to observe in the experiment, since…

Optics · Physics 2019-04-23 I. I. Smolyaninov

The Abraham-Lorentz-Dirac theory predicts vanishing radiation reaction for uniformly accelerated charges. However, since an accelerating observer should detect thermal radiation, the charge should be seen absorbing photons in the…

High Energy Physics - Theory · Physics 2021-04-21 Zoltán Tulipánt

The property of inertia has never been fully explained. A model for inertia (MiHsC or quantised inertia) has been suggested that assumes that 1) inertia is due to Unruh radiation and 2) this radiation is subject to a Hubble-scale Casimir…

General Physics · Physics 2015-06-15 M. E. McCulloch

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

The thermal radiance felt by a uniformly accelerated detector/oscillator/atom--the Unruh effect-- is often mistaken to be some emitted radiation detectable by an observer/probe/sensor. Here we show by an explicit calculation of the energy…

Quantum Physics · Physics 2007-05-23 B. L. Hu , Alpan Raval

We examine the Unruh-DeWitt particle detector coupled to a scalar field in an arbitrary Hadamard state in four-dimensional curved spacetime. Using smooth switching functions to turn on and off the interaction, we obtain a regulator-free…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Jorma Louko , Alejandro Satz

The behavior of accelerating Unruh-DeWitt detectors coupled with a spinor field in (3+1)-dimensional spacetime is investigated. For a single point-like detector with Gaussian switching function, the transition probability increases with the…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Dawei Wu , Shan-Chang Tang , Yu Shi

We compute the corrections to the transition amplitudes of an accelerated Unruh ``box'' that arise when the accelerated box is replaced by a ``two level ion'' immersed in a constant electric field and treated in second quantization. There…

High Energy Physics - Theory · Physics 2014-11-18 R. Parentani , S. Massar