标题： 超流体$λ$转变在带电AdS黑洞中 显示英文标题

标题： Superfluid $λ$ Transition in Charged AdS Black Holes

摘要： 我们在带电AdS黑洞的$P-V$临界性中观察到一个超流体$\lambda$相变，在考虑牛顿常数$G$变化的全息扩展热力学中。 我们计算了临界指数，并发现它们与液态$^4\text{He}$的超流体相变以及硬球玻色气体的玻色-爱因斯坦凝聚的临界指数一致。 此外，全息框架中熵和热力学体积的独立性使我们能够构建一个定义良好的Ruppeiner度量。 相关的标量曲率表明，黑洞与硬球玻色气体表现出类似的微观相互作用，其中超流体（凝聚）相主要由排斥相互作用主导，而正常（气体）相主要由吸引相互作用主导。 这些发现可能为我们提供关于带电AdS黑洞量子方面的新的见解。 显示英文摘要

摘要： We observe a superfluid $\lambda$ transition in the $P-V$ criticality of charged AdS black holes, within a holographic extended thermodynamics that considers the variation of Newton's constant $G$. We calculate the critical exponents and find that they coincide with those of a superfluid transition in liquid $^4\text{He}$ and the Bose-Einstein condensation of hard-sphere Bose gas. Moreover, the independence of entropy and thermodynamic volume in the holographic framework allows us to construct a well-defined Ruppeiner metric. The associated scalar curvature suggests that the black holes show similar microscopic interactions with the hard-sphere Bose gas, where the superfluid (condensed) phase is dominated by repulsive interactions, while the normal (gas) phase is dominated by attractive interactions. These findings might provide us with new insights into the quantum aspect of charged AdS black holes.