Quantum master equation for the vacuum decay dynamics

Abstract The quantum master equation required to describe the dynamics of gravity-related vacuum decay is still challenging. We aim to study this issue. Our model consists of the spacetime and scalar field with self-interaction potential. The environment is chosen as spacetime while the system is fo...

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Main Authors: Hong Wang, Jin Wang
Format: Article
Language:English
Published: SpringerOpen 2023-09-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP09(2023)113
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author Hong Wang
Jin Wang
author_facet Hong Wang
Jin Wang
author_sort Hong Wang
collection DOAJ
description Abstract The quantum master equation required to describe the dynamics of gravity-related vacuum decay is still challenging. We aim to study this issue. Our model consists of the spacetime and scalar field with self-interaction potential. The environment is chosen as spacetime while the system is formed by the vacua of the scalar field. We demonstrate that the quantum dynamics of the vacua can be described by the Redfield equation, which can depict the evolution of both coherence and the comoving volume fraction of the vacuum. Under the Markovian limit, coherence monotonically decreases with time, leading to the initial quantum state to decohere into a classical state. This helps the understanding of the decoherence of the universe. We also highlight that in certain circumstances, the evolution of the vacuum system may display non-Markovian dynamics. In specific scenarios, the classical limit of the quantum master equation is consistent with the classical master equation. In the steady state, the dominant vacuum corresponds to the smallest cosmological constant, and various dS vacua can reach equilibrium states.
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spelling doaj.art-e9f3cd6143df473cbaaf8883cc0980292023-12-31T12:08:30ZengSpringerOpenJournal of High Energy Physics1029-84792023-09-012023912510.1007/JHEP09(2023)113Quantum master equation for the vacuum decay dynamicsHong Wang0Jin Wang1State Key Laboratory of Electroanalytical Chemistry, Changchun Institute of Applied Chemistry, Chinese Academy of SciencesDepartment of Chemistry and Department of Physics and Astronomy, State University of New York at Stony BrookAbstract The quantum master equation required to describe the dynamics of gravity-related vacuum decay is still challenging. We aim to study this issue. Our model consists of the spacetime and scalar field with self-interaction potential. The environment is chosen as spacetime while the system is formed by the vacua of the scalar field. We demonstrate that the quantum dynamics of the vacua can be described by the Redfield equation, which can depict the evolution of both coherence and the comoving volume fraction of the vacuum. Under the Markovian limit, coherence monotonically decreases with time, leading to the initial quantum state to decohere into a classical state. This helps the understanding of the decoherence of the universe. We also highlight that in certain circumstances, the evolution of the vacuum system may display non-Markovian dynamics. In specific scenarios, the classical limit of the quantum master equation is consistent with the classical master equation. In the steady state, the dominant vacuum corresponds to the smallest cosmological constant, and various dS vacua can reach equilibrium states.https://doi.org/10.1007/JHEP09(2023)113Models of Quantum GravityEffective Field Theories
spellingShingle Hong Wang
Jin Wang
Quantum master equation for the vacuum decay dynamics
Journal of High Energy Physics
Models of Quantum Gravity
Effective Field Theories
title Quantum master equation for the vacuum decay dynamics
title_full Quantum master equation for the vacuum decay dynamics
title_fullStr Quantum master equation for the vacuum decay dynamics
title_full_unstemmed Quantum master equation for the vacuum decay dynamics
title_short Quantum master equation for the vacuum decay dynamics
title_sort quantum master equation for the vacuum decay dynamics
topic Models of Quantum Gravity
Effective Field Theories
url https://doi.org/10.1007/JHEP09(2023)113
work_keys_str_mv AT hongwang quantummasterequationforthevacuumdecaydynamics
AT jinwang quantummasterequationforthevacuumdecaydynamics