论文标题
全息限制/解剖量规理论和纠缠措施与磁场
Holographic confining/deconfining gauge theories and entanglement measures with a magnetic field
论文作者
论文摘要
我们研究了背景磁场的存在，研究自下而上ADS/QCD模型的限制/脱符相中的各种全息纯和混合状态纠缠措施。我们分析纠缠熵，纠缠楔横截面，相互信息和纠缠负效率，并研究背景磁场如何在这些措施的纠缠结构上留下其烙印。由于磁场引入的各向异性，我们发现这些度量的行为在非试图取决于条带相对于磁场的相对取向。在狭窄阶段，纠缠熵和负性在相同的临界条长上经历相变，其大小增加/减小，对于磁场的平行/垂直方向而言。纠缠楔横截面每次发生不同的纠缠表面之间的相变时，同样显示出不连续的行为，同时进一步表现出具有磁场的各向异性特征。我们进一步发现，磁场还引入了解剖相的纠缠度量的实质性变化，但是，对于磁场的所有方向，这些变化在质量上仍然相似。我们进一步研究了涉及纠缠楔和相互信息的不平等，并发现前者始终超过后者的一半，在受限/解义阶段的参数空间中。
We study various holographic pure and mixed state entanglement measures in the confined/deconfined phases of a bottom-up AdS/QCD model in the presence of a background magnetic field. We analyse the entanglement entropy, entanglement wedge cross-section, mutual information, and entanglement negativity and investigate how a background magnetic field leaves its imprints on the entanglement structure of these measures. Due to the anisotropy introduced by the magnetic field, we find that the behaviour of these measures depends nontrivially on the relative orientation of the strip with respect to the field. In the confining phase, the entanglement entropy and negativity undergo a phase transition at the same critical strip length, the magnitude of which increases/decreases for parallel/perpendicular orientation of the magnetic field. The entanglement wedge cross-section similarly displays discontinuous behaviour each time a phase transition between different entangling surfaces occurs, while further exhibiting anisotropic features with a magnetic field. We further find that the magnetic field also introduces substantial changes in the entanglement measures of the deconfined phase, however, these changes remain qualitatively similar for all orientations of the magnetic field. We further study the inequality involving entanglement wedge and mutual information and find that the former always exceeds half of the latter everywhere in the parameter space of the confined/deconfined phases.
