具有退相干效应的宇宙学贝尔试验

IF 5.3 2区 物理与天体物理 Q1 ASTRONOMY & ASTROPHYSICS
Chon Man Sou, Junqi Wang and Yi Wang
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引用次数: 0

摘要

暴胀宇宙会产生粒子对,由于动量守恒,粒子对的矩是纠缠在一起的。涉及波动矩的算子可以改写成伪自旋算子,如古尔-汉纳-曼-雷夫岑(Gour-Khanna-Mann-Revzen,GKMR)伪自旋算子。利用这些伪自旋算子,可以制定宇宙学贝尔不等式。对这些贝尔不等式的违反表明了原始波动的量子性质。在这项工作中,我们重点研究原始曲率扰动。由于曲率扰动来自引力,其作用包括吉本斯-霍金-约克边界项。我们将阐明边界项在为线性扰动选择合适初始条件中的作用。之后,我们继续讨论宇宙学扰动的相互作用,包括引入退相干效应的体相互作用项和边界相互作用项。这些退相干效应会改变贝尔算子的期望值,并逐渐恢复贝尔不等式。我们用 "贝尔检验曲线 "来描述这一过程,它为检验宇宙学扰动的量子起源提供了一个大约 5 e-folds 的窗口。我们还探索了从贝尔测试曲线中提取退相干率和原始相互作用结构信息的可能性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Cosmological Bell tests with decoherence effects
The inflationary universe creates particle pairs, which are entangled in their momenta due to momentum conservation. Operators involving the momenta of the fluctuations can be rewritten into pseudo-spin operators, such as the Gour-Khanna-Mann-Revzen (GKMR) pseudo-spin. Making use of these pseudo-spin operators, cosmological Bell inequalities can be formulated. The violation of these Bell inequalities indicates the quantum nature of primordial fluctuations. In this work, we focus on primordial curvature perturbations. Since curvature perturbations arise from gravity, their action includes the Gibbons-Hawking-York boundary term. We clarify the role of the boundary term in selecting suitable initial conditions for linear perturbations. After that, we proceed to the interactions of cosmological perturbations, including the bulk and boundary interaction terms, which introduce decoherence effects. These decoherence effects change the expectation value of the Bell operator, and gradually restore the Bell inequality. We describe this process by a “Bell test curve”, which offers a window around 5 e-folds for testing the quantum origin of cosmological perturbations. We also explore the possibility of extracting the information of the decoherence rate and the structure of primordial interactions from the Bell test curve.
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来源期刊
Journal of Cosmology and Astroparticle Physics
Journal of Cosmology and Astroparticle Physics 地学天文-天文与天体物理
CiteScore
10.20
自引率
23.40%
发文量
632
审稿时长
1 months
期刊介绍: Journal of Cosmology and Astroparticle Physics (JCAP) encompasses theoretical, observational and experimental areas as well as computation and simulation. The journal covers the latest developments in the theory of all fundamental interactions and their cosmological implications (e.g. M-theory and cosmology, brane cosmology). JCAP''s coverage also includes topics such as formation, dynamics and clustering of galaxies, pre-galactic star formation, x-ray astronomy, radio astronomy, gravitational lensing, active galactic nuclei, intergalactic and interstellar matter.
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