卡卢扎-克莱因宇宙学中挤压相干态的出现

IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Annals of Physics Pub Date : 2024-09-16 DOI:10.1016/j.aop.2024.169805
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引用次数: 0

摘要

在这项研究中,我们考虑了卡卢扎-克莱因型宇宙背景上的一个传播标量场。研究表明,从汉密尔顿的角度来看,宇宙的这种几何描述类似于一个质量和频率都随时间变化的阻尼谐振子。在这种情况下,我们采用刘易斯-里森费尔德(Lewis-Riesenfeld)的不变算子法(非赫米特),以非单元法为量子化标量场构建挤压相干态(SCS)。通过研究不确定性原理的正交挤压特性,讨论了 SCS 的非经典性。此外,我们还计算了概率密度,从而可以研究 SCS 是否可以用来寻找额外维度的踪迹。然后,我们通过考虑不同的宇宙学时代,分析了补充空间的存在对SCS中宇宙学粒子产生的影响。
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Emergence of squeezed coherent states in Kaluza–Klein cosmology

In this work, we consider a propagating scalar field on Kaluza–Klein-type cosmological background. It is shown that this geometrical description of the Universe resembles – from a Hamiltonian standpoint – a damped harmonic oscillator with mass and frequency, both time-dependents. In this scenario, we construct the squeezed coherent states (SCSs) for the quantized scalar field by employing the invariant operator method of Lewis–Riesenfeld (non-Hermitian) in a non-unitary approach. The non-classicality of SCSs has been discussed by examining the quadrature squeezing properties from the uncertainty principle. Moreover, we compute the probability density, which allows us to investigate whether SCSs can be used to seek traces of extra dimensions. We then analyze the effects of the existence of supplementary space on cosmological particle production in SCSs by considering different cosmological eras.

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来源期刊
Annals of Physics
Annals of Physics 物理-物理:综合
CiteScore
5.30
自引率
3.30%
发文量
211
审稿时长
47 days
期刊介绍: Annals of Physics presents original work in all areas of basic theoretic physics research. Ideas are developed and fully explored, and thorough treatment is given to first principles and ultimate applications. Annals of Physics emphasizes clarity and intelligibility in the articles it publishes, thus making them as accessible as possible. Readers familiar with recent developments in the field are provided with sufficient detail and background to follow the arguments and understand their significance. The Editors of the journal cover all fields of theoretical physics. Articles published in the journal are typically longer than 20 pages.
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