论文标题
De Sitter空间中的四模式挤压状态：一项具有两个场相互作用量子系统的研究
Four-mode squeezed states in de Sitter space: A study with two field interacting quantum system
论文作者
论文摘要
在本文中，我们研究了在宇宙学环境中四模式挤压状态的应用，研究了在DE Sitter空间的平面贴片中两个弱耦合的标量场。我们构建了四模式挤压状态形式主义，并将这一概念与两个倒置的谐波振荡器的哈密顿式连接起来，在DE Sitter空间的平面贴片中具有时间依赖的有效频率。此外，已经构建了量子欧几里德真空状态的相应进化算子，从而捕获了其动力学。对于弱耦合的两个标量场模型，使用了使用Heisenberg图片耦合的微分方程来描述所有挤压参数（振幅，相和角度）的时间演化（振幅，相和角度）。借助这些耦合系统的这些演变，我们在保形时间方面模拟了挤压参数的动力学。从我们的分析中，我们可以观察到有趣的动态，这有助于我们探索在Sitter宇宙学背景的平面贴片中弱耦合两个标量场系统的各种潜在的物理含义。
In this paper we study the application of four-mode squeezed states in the cosmological context, studying two weakly coupled scalar fields in the planar patch of the de Sitter space. We construct the four-mode squeezed state formalism and connect this concept with the Hamiltonian of the two coupled inverted harmonic oscillators having a time-dependent effective frequency in the planar patch of the de Sitter space. Further, the corresponding evolution operator for the quantum Euclidean vacuum state has been constructed, which captures its dynamics. Using the Heisenberg picture coupled differential equations describing the time evolution for all squeezing parameters (amplitude, phase and angle) have been obtained, for the weakly coupled two scalar field model. With the help of these evolutions for the coupled system, we simulate the dynamics of the squeezing parameters in terms of conformal time. From our analysis, we observe interesting dynamics, which helps us to explore various underlying physical implications of the weakly coupled two scalar field system in the planar patch of the de Sitter cosmological background.
