发表机构
İzmir Institute of Technology（伊兹密尔理工学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究在谐振宇宙学框架下构造多模压缩态，发现多模压缩真空态在大模数下体积涨落可任意小，从而呈现半经典行为，为理解反弹宇宙和经典宇宙涌现提供新视角。
AI 中文摘要
谐振宇宙学是一种基于$\u0010su(1,1)$李代数的代数框架，它构成了圈量子宇宙学和群场理论有效动力学的基础。我们聚焦于$\u0010su(1,1)$的多模玻色子实现，在谐振宇宙学中构造多模压缩态，并通过在运动学层面计算体积算符的相对不确定度来分析其半经典性质。与单模压缩真空态总是表现出大的量子涨落不同，我们发现当模数很大时，即使没有位移，体积的相对不确定度也可以任意小。我们的结果表明，具有大量独立模的运动学压缩真空态可以表现为半经典行为，这为反弹宇宙学的量子本质和经典宇宙的出现提供了见解。
英文摘要
Harmonic cosmology is an algebraic framework based on the $\mathfrak{su}(1,1)$ Lie algebra that underlies the effective dynamics of loop quantum cosmology and group field theory. Focusing on the multimode bosonic realization of $\mathfrak{su}(1,1)$, we construct multimode squeezed states in harmonic cosmology and analyze their semiclassical properties by computing the relative uncertainties of the volume operator at the kinematical level. In contrast to single-mode squeezed vacua, which invariably exhibit large quantum fluctuations, we find that the relative uncertainty of the volume can be made arbitrarily small when the number of modes is large, even without displacement. Our results demonstrate that a kinematical squeezed vacuum state with a large number of independent modes can behave semiclassically providing insights into the quantum nature of bouncing cosmologies and the emergence of a classical universe.
Comments11 pages, 2 figures
