In this paper, by the use of entangled and nonentangled coherent and squeezed state formalism of two-mode nonclassical states, we studied the chaotic inflationary model of a massive scalar field with quadratic potential in the semiclassical gravity, derived from canonical quantum gravity. It was found that the semiclassical quantum gravity leads to the same power-law expansion of the universe as that of the matter-dominated era [Formula: see text] in an oscillatory phase of the scalar field in all the nonclassical quantum states considered. The coherently oscillating scalar field in the expanding universe suffers from the phenomenon of particle creation which restricts the duration of stable coherent oscillations of the scalar field dependent on the parameters of the states considered and affect in a certain way the abundant particle production owing to the parametric resonance of bosonic fields coupled to this coherently oscillating scalar field.

中文翻译：

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双模量子光学状态下振荡大质量标量场的量子涨落和宇宙粒子产生

在本文中，我们利用纠缠和非纠缠的相干和挤压态的双模态非经典态形式，研究了从规范量子引力推导出的半经典引力中具有二次势的大质量标量场的混沌暴胀模型。研究发现，在所考虑的所有非经典量子态中，在标量场的振荡阶段，半经典量子引力导致宇宙的幂律膨胀与物质主导时代[公式：见正文]相同。