Evolution of quantum field, particle content, and classicality in the three stage universe
Evolution of quantum field, particle content, and classicality in the three stage universe
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三阶段宇宙中量子场、粒子含量和经典性的演化
DOI：
10.1103/physrevd.88.125020
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发表时间：
2013
影响因子：
5
通讯作者：
T. Padmanabhan
中科院分区：
文献类型：
--
作者：
Suprit Singh;Sujoy K. Modak;T. Padmanabhan
我们研究了一个玩具宇宙中量子标量场的演化，这个玩具宇宙有三个演化阶段，(i)一个早期（暴胀）德西特阶段（ii）辐射为主的阶段和（iii）晚时间（宇宙常数为主）德西特阶段。使用薛定谔图像，标量场方程分别求解的三个阶段和匹配的过渡点。边界条件的选择，使早期德西特的场模式从Bunch-Davies真空状态演变。我们确定的（时间依赖）粒子含量的量子态的整个宇宙的演化，并描述了各种功能的数值和分析。我们还描述了量子到经典的过渡方面的经典参数，跟踪粒子的创建及其对量子场的相空间关联的影响。
We study the evolution of a quantum scalar field in a toy universe which has three stages of evolution, viz., (i) an early (inflationary) de Sitter phase (ii) radiation-dominated phase and (iii) late-time (cosmological constant dominated) de Sitter phase. Using the Schrodinger picture, the scalar field equations are solved separately for the three stages and matched at the transition points. The boundary conditions are chosen so that field modes in the early de Sitter evolves from the Bunch-Davies vacuum state. We determine the (time-dependent) particle content of this quantum state for the entire evolution of the universe and describe the various features both numerically and analytically. We also describe the quantum to classical transition in terms of a classicality parameter which tracks the particle creation and its effect on phase space correlation of the quantum field.