St $\ddot{u}$ ckelberg超导体的全息纠缠熵和复杂性
Holographic entanglement entropy and complexity in St$\ddot{u}$ckelberg superconductor
摘要：
全息超导体作为规范/引力对偶性的重要应用之一，促进了基于经典广义相对论的高维强耦合超导体的研究。全息超导体的一个有趣性质是一级和二级相变的出现。近年来，全息框架中另一个活跃的研究是从引力角度评价全息纠缠熵和复杂性。本文研究了St $\ddot{u}$ ckelberg超导体中一级和二级相变的全息纠缠熵和复杂度的性质。我们发现它们在两种类型的相变中表现不同。我们认为，全息纠缠熵和复杂性与体积的关系也可以作为超导相变类型的一个可能的探针。
英文摘要：
The holographic superconductors, as one of the most important application of gauge/gravity duality, promote the study of strongly coupled superconductors via classical general relativity living in one higher dimension. One of the interesting properties in holographic superconductor is the appearance of first and second order phase transitions. Recently, another active studies in holographic framework is the holographic entanglement entropy and complexity evaluated from gravity side. In this note, we study the properties of the holographic entanglement entropy and complexity crossing both first and second order phase transitions in St$\ddot{u}$ckelberg superconductor. We find that they behave differently in two types of phase transitions. We argue that holographic entanglement entropy and complexity conjectured with the volume can also be a possible probe to the type of superconducting phase transition.
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