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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Académie des sciences
2024-06-01
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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. |
format | Article |
id | doaj-art-640949c4851b4e1f854b3b67698c1bdd |
institution | Kabale University |
issn | 1878-1535 |
language | English |
publishDate | 2024-06-01 |
publisher | Académie des sciences |
record_format | Article |
series | Comptes Rendus. Physique |
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 |