Title: Entanglement Entropy of a Scalar Field in a Squeezed State Show Chinese title

Title: 压缩态标量场的纠缠熵

Abstract: We study the entanglement entropy within a spherical region for a free scalar field in a squeezed state in 3+1 dimensions. We show that, even for small squeezing, a volume term appears, whose coefficient is essentially independent of the field mass. This is in line with Page's argument that the entanglement entropy in an arbitrary quantum state is proportional to the number of degrees of freedom of the smaller subsystem. It follows that squeezed states can be considered as arbitrary quantum states, in contrast to the ground or coherent states that give rise to entanglement entropy that is dominated by a term proportional to the area of the entangling surface. Show Chinese abstract

Abstract: 我们研究了三维空间中压缩态自由标量场在一个球形区域内的纠缠熵。 我们表明，即使在小压缩情况下，也会出现一个体积项，其系数基本上与场的质量无关。 这与Page的论点一致，即任意量子态的纠缠熵与较小子系统的自由度数成正比。 由此可知，压缩态可以被视为任意量子态，与产生主要由纠缠表面面积项主导的纠缠熵的基态或相干态形成对比。