We study the primary entanglement effect on the decoherence of reduced-density matrices of scalar fields, which interact with other fields or independent mode functions. We study the (leading) tree-level evolution of the scalar bispectrum due to a coupling between two scalar fields. We show that the primary entanglement has a significant role in the decoherence of the given quantum state. We find that the existence of such an entanglement could couple dynamical equations coming from a Schrödinger equation. We show that if one wants to see no effect of the entanglement parameter in the decohering of the quantum system, then the ground state eigenvalues of the interaction terms in the Hamiltonian cannot be independent of each other Generally, including the primary entanglement destroys the independence of the interaction terms in the ground state. We show that the imaginary part of the entanglement parameter plays an important role in the decoherence process without posing any specific restriction to the interaction terms. Our results could be generalized to every scalar quantum field theory with a well-defined quantization of its fluctuations in a given curved space-time.

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关于一般纠缠态和量子退相干

我们研究了与其他场或独立模式函数相互作用的标量场的密度降低矩阵的退相干的主要纠缠效应。由于两个标量场之间的耦合，我们研究了标量双谱的（领先）树级演化。我们表明，初级纠缠在给定量子态的退相干中具有重要作用。我们发现这种纠缠的存在可以耦合来自薛定谔方程的动力学方程。我们证明，如果不想看到纠缠参数对量子系统的退相干产生影响，那么哈密顿量中相互作用项的基态特征值不能相互独立。一般来说，包括初级纠缠会破坏独立性基态的相互作用项。我们表明，纠缠参数的虚部在退相干过程中起着重要作用，而对交互项没有任何具体限制。我们的结果可以推广到每个标量量子场论，并对其在给定弯曲时空中的波动进行明确的量化。