Abstract In this work we consider two complex scalar fields distinguished by their masses coupled to constant background electric and magnetic fields in the ( 3 + 1 ) -dimensional Minkowski spacetime and subsequently investigate a few measures quantifying the quantum correlations between the created particle-antiparticle Schwinger pairs. Since the background magnetic field itself cannot cause the decay of the Minkowski vacuum, our chief motivation here is to investigate the interplay between the effects due to the electric and magnetic fields. We start by computing the entanglement entropy for the vacuum state of a single scalar field. Second, we consider some maximally entangled states for the two-scalar field system and compute the logarithmic negativity and the mutual information. Qualitative differences of these results pertaining to the charge content of the states are emphasised. Based upon these results, we suggest some possible effects of a background magnetic field on the degradation of entanglement between states in an accelerated frame, for charged quantum fields.

中文翻译：

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施温格效应中的背景磁场和量子相关性

摘要 在这项工作中，我们考虑了两个复杂的标量场，它们的质量与 ( 3 + 1 ) 维闵可夫斯基时空中的恒定背景电场和磁场耦合，随后研究了一些量化所创建粒子-反粒子施温格之间的量子相关性的度量。对。由于背景磁场本身不能引起闵可夫斯基真空的衰减，我们在这里的主要动机是研究电场和磁场效应之间的相互作用。我们首先计算单个标量场的真空状态的纠缠熵。其次，我们考虑双标量场系统的一些最大纠缠态，并计算对数负性和互信息。强调了与状态电荷含量有关的这些结果的定性差异。基于这些结果，我们提出了背景磁场对带电量子场中加速坐标系中状态之间纠缠退化的一些可能影响。