Optomechanical Backreaction of Quantum Field Processes in Dynamical Casimir Effect

Dynamical Casimir effect (DCE) and cosmological particle creation (CPC) share the same underlying physical mechanism, that of parametric amplification of vacuum fluctuations in the quantum field by an expanding universe or by a fast moving boundary. Backreaction of cosmological particle creation at...

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Main Authors: Xie, Yu-Cun, Butera, Salvatore, Hu, Bei-Lok
Format: Article
Language:English
Published: Académie des sciences 2024-06-01
Series:Comptes Rendus. Physique
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Online Access:https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.186/
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author Xie, Yu-Cun
Butera, Salvatore
Hu, Bei-Lok
author_facet Xie, Yu-Cun
Butera, Salvatore
Hu, Bei-Lok
author_sort Xie, Yu-Cun
collection DOAJ
description Dynamical Casimir effect (DCE) and cosmological particle creation (CPC) share the same underlying physical mechanism, that of parametric amplification of vacuum fluctuations in the quantum field by an expanding universe or by a fast moving boundary. Backreaction of cosmological particle creation at the Planck time has been shown to play a significant role in the isotropization and homogenization of the early universe. Understanding the backreaction effects of quantum field processes in DCE is the goal of this work. We present analyses of quantum field processes in two model systems: in 1+1D, a ring with time-dependent radius, and in 3+1D, a symmetric rectangular conducting box with one moving side. In both cases the time-dependence of the radius or the length is determined solely by the backreaction of particle creation and related effects, there is no external agent. We find that for 1+1D, the only quantum field effect due to the trace anomaly tends to accelerate the contraction of the ring over and above that due to the attractive force in the static Casimir effect. For the rectangular box the expansion or contraction is slowed down compared to that due to the static Casimir effect. Our findings comply with what is known as the quantum Lenz law, found in cosmological backreaction problems: the backreaction works in the direction of opposing further changes, which means the suppression of particle creation and a slow down of the system dynamics. In conclusion we suggest two related classes of problems of theoretical significance for further investigations.
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spelling doaj-art-640949c4851b4e1f854b3b67698c1bdd2025-02-07T13:54:01ZengAcadémie des sciencesComptes Rendus. Physique1878-15352024-06-0112210.5802/crphys.18610.5802/crphys.186Optomechanical Backreaction of Quantum Field Processes in Dynamical Casimir EffectXie, Yu-Cun0Butera, Salvatore1Hu, Bei-Lok2Department of Physics, University of Maryland, College Park, MD 20742, USASchool of Physics and Astronomy, University of Glasgow, Glasgow G12 8QQ, UKMaryland Center for Fundamental Physics and Joint Quantum Institute, University of Maryland, College Park, MD 20742, USADynamical Casimir effect (DCE) and cosmological particle creation (CPC) share the same underlying physical mechanism, that of parametric amplification of vacuum fluctuations in the quantum field by an expanding universe or by a fast moving boundary. Backreaction of cosmological particle creation at the Planck time has been shown to play a significant role in the isotropization and homogenization of the early universe. Understanding the backreaction effects of quantum field processes in DCE is the goal of this work. We present analyses of quantum field processes in two model systems: in 1+1D, a ring with time-dependent radius, and in 3+1D, a symmetric rectangular conducting box with one moving side. In both cases the time-dependence of the radius or the length is determined solely by the backreaction of particle creation and related effects, there is no external agent. We find that for 1+1D, the only quantum field effect due to the trace anomaly tends to accelerate the contraction of the ring over and above that due to the attractive force in the static Casimir effect. For the rectangular box the expansion or contraction is slowed down compared to that due to the static Casimir effect. Our findings comply with what is known as the quantum Lenz law, found in cosmological backreaction problems: the backreaction works in the direction of opposing further changes, which means the suppression of particle creation and a slow down of the system dynamics. In conclusion we suggest two related classes of problems of theoretical significance for further investigations.https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.186/backreactiondynamical Casimir effectnonequilibrium quantum fieldvacuum fluctuationsquantum fields in curved spacetimeadiabatic regularization
spellingShingle Xie, Yu-Cun
Butera, Salvatore
Hu, Bei-Lok
Optomechanical Backreaction of Quantum Field Processes in Dynamical Casimir Effect
Comptes Rendus. Physique
backreaction
dynamical Casimir effect
nonequilibrium quantum field
vacuum fluctuations
quantum fields in curved spacetime
adiabatic regularization
title Optomechanical Backreaction of Quantum Field Processes in Dynamical Casimir Effect
title_full Optomechanical Backreaction of Quantum Field Processes in Dynamical Casimir Effect
title_fullStr Optomechanical Backreaction of Quantum Field Processes in Dynamical Casimir Effect
title_full_unstemmed Optomechanical Backreaction of Quantum Field Processes in Dynamical Casimir Effect
title_short Optomechanical Backreaction of Quantum Field Processes in Dynamical Casimir Effect
title_sort optomechanical backreaction of quantum field processes in dynamical casimir effect
topic backreaction
dynamical Casimir effect
nonequilibrium quantum field
vacuum fluctuations
quantum fields in curved spacetime
adiabatic regularization
url https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.186/
work_keys_str_mv AT xieyucun optomechanicalbackreactionofquantumfieldprocessesindynamicalcasimireffect
AT buterasalvatore optomechanicalbackreactionofquantumfieldprocessesindynamicalcasimireffect
AT hubeilok optomechanicalbackreactionofquantumfieldprocessesindynamicalcasimireffect