压缩态中标量场的纠缠熵
Entanglement Entropy of a Scalar Field in a Squeezed State
AI总结：
本文研究3+1维压缩态自由标量场在球形区域内的纠缠熵，发现小压缩下即出现与质量基本无关的体积项，表明压缩态表现为任意量子态，而非面积律主导的基态或相干态。
摘要：
我们研究了3+1维中处于压缩态的自由标量场在球形区域内的纠缠熵。我们表明，即使压缩很小，也会出现一个体积项，其系数基本上与场质量无关。这与Page的论点一致，即任意量子态中的纠缠熵与较小子系统的自由度数成正比。由此可见，压缩态可被视为任意量子态，这与基态或相干态形成对比，后两者产生的纠缠熵由一个正比于纠缠表面面积的项主导。
英文摘要：
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.
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