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Unruh-like effects: effective temperatures along stationary worldlines

We study the detailed balance temperatures recorded along all classes of stationary, uniformly accelerated worldlines in four-dimensional Minkowski spacetime, namely along (i) linear uniform acceleration, (ii) cusped, (iii) circular, (iv) catenary, and (v) helix worldlines, among which the Unruh tem...

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Autores principales: Good, Michael, Juárez-Aubry, Benito A., Moustos, Dimitris, Temirkhan, Maksat
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7282697/
https://www.ncbi.nlm.nih.gov/pubmed/32536781
http://dx.doi.org/10.1007/JHEP06(2020)059
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author Good, Michael
Juárez-Aubry, Benito A.
Moustos, Dimitris
Temirkhan, Maksat
author_facet Good, Michael
Juárez-Aubry, Benito A.
Moustos, Dimitris
Temirkhan, Maksat
author_sort Good, Michael
collection PubMed
description We study the detailed balance temperatures recorded along all classes of stationary, uniformly accelerated worldlines in four-dimensional Minkowski spacetime, namely along (i) linear uniform acceleration, (ii) cusped, (iii) circular, (iv) catenary, and (v) helix worldlines, among which the Unruh temperature is the particular case for linear uniform acceleration. As a measuring device, we employ an Unruh-DeWitt detector, modeled as a qubit that interacts for a long time with a massless Klein-Gordon field in the vacuum state. The temperatures in each case (i) - (v) are functions of up to three invariant quantities: curvature or proper acceleration, κ, torsion, b, and hypertorsion, ν, and except for the case (i), they depend on the transition frequency difference of the detector, ω. We investigate numerically the behavior of the frequency-dependent temperatures for different values of κ, b, and ν along the stationary worldlines (ii) - (v) and evaluate analytically the regimes where the temperatures recorded along the different worldlines coincide with each other in terms of relevant asymptotic limits for κ, b, or ν, and discuss their physical meaning. We demonstrate that the temperatures in cases (ii) - (v) dip under the Unruh temperature at low frequencies and go above the Unruh temperature for large |ω|. It is our hope that this study will be relevant to the design of experiments seeking to verify the Unruh effect or generalizations thereof.
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spelling pubmed-72826972020-06-10 Unruh-like effects: effective temperatures along stationary worldlines Good, Michael Juárez-Aubry, Benito A. Moustos, Dimitris Temirkhan, Maksat J High Energy Phys Regular Article - Theoretical Physics We study the detailed balance temperatures recorded along all classes of stationary, uniformly accelerated worldlines in four-dimensional Minkowski spacetime, namely along (i) linear uniform acceleration, (ii) cusped, (iii) circular, (iv) catenary, and (v) helix worldlines, among which the Unruh temperature is the particular case for linear uniform acceleration. As a measuring device, we employ an Unruh-DeWitt detector, modeled as a qubit that interacts for a long time with a massless Klein-Gordon field in the vacuum state. The temperatures in each case (i) - (v) are functions of up to three invariant quantities: curvature or proper acceleration, κ, torsion, b, and hypertorsion, ν, and except for the case (i), they depend on the transition frequency difference of the detector, ω. We investigate numerically the behavior of the frequency-dependent temperatures for different values of κ, b, and ν along the stationary worldlines (ii) - (v) and evaluate analytically the regimes where the temperatures recorded along the different worldlines coincide with each other in terms of relevant asymptotic limits for κ, b, or ν, and discuss their physical meaning. We demonstrate that the temperatures in cases (ii) - (v) dip under the Unruh temperature at low frequencies and go above the Unruh temperature for large |ω|. It is our hope that this study will be relevant to the design of experiments seeking to verify the Unruh effect or generalizations thereof. Springer Berlin Heidelberg 2020-06-09 2020 /pmc/articles/PMC7282697/ /pubmed/32536781 http://dx.doi.org/10.1007/JHEP06(2020)059 Text en © The Author(s) 2020 https://creativecommons.org/licenses/by/4.0/This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited
spellingShingle Regular Article - Theoretical Physics
Good, Michael
Juárez-Aubry, Benito A.
Moustos, Dimitris
Temirkhan, Maksat
Unruh-like effects: effective temperatures along stationary worldlines
title Unruh-like effects: effective temperatures along stationary worldlines
title_full Unruh-like effects: effective temperatures along stationary worldlines
title_fullStr Unruh-like effects: effective temperatures along stationary worldlines
title_full_unstemmed Unruh-like effects: effective temperatures along stationary worldlines
title_short Unruh-like effects: effective temperatures along stationary worldlines
title_sort unruh-like effects: effective temperatures along stationary worldlines
topic Regular Article - Theoretical Physics
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7282697/
https://www.ncbi.nlm.nih.gov/pubmed/32536781
http://dx.doi.org/10.1007/JHEP06(2020)059
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