论文标题
混合状态纠缠和热相变
Mixed State Entanglement and Thermal Phase Transitions
论文作者
论文摘要
我们研究混合状态纠缠与热相变的关系。作为一个典型的例子，我们计算了超导相变的全息纠缠熵（HEE），全息相互信息（MI）和全息纠缠（EOP）。我们发现HEE，MI和EOP都可以诊断出超导相变。它们在临界点是连续的，但是它们在温度方面的第一个衍生物是不连续的。 MI随温度的升高而降低并表现出凸行为，而HEE随温度的升高并表现出凹形行为。但是，根据特定配置的大小，EOP可以表现出与MI相同或相反的行为。这些结果表明，EOP比HEE和MI捕获更多的信息。 我们还提供了一种新算法来计算EOP的一般配置。
We study the relationship between mixed state entanglement and thermal phase transitions. As a typical example, we compute the holographic entanglement entropy (HEE), holographic mutual information (MI) and the holographic entanglement of purification (EoP) over the superconductivity phase transition. We find that HEE, MI and EoP can all diagnose the superconducting phase transition. They are continuous at the critical point, but their first derivative with respect to temperature is discontinuous. MI decreases with increasing temperature and exhibits a convex behavior, while HEE increases with increasing temperature and exhibits a concave behavior. However, EoP can exhibit either the same or the opposite behavior as MI, depending on the size of the specific configuration. These results show that EoP captures more abundant information than HEE and MI. We also provide a new algorithm to compute the EoP for general configurations.
