The mixed-state entanglement in holographic p-wave superconductor model

In this paper, we investigate the mixed-state entanglement in a model of p-wave superconductivity phase transition using holographic methods. We calculate several entanglement measures, including holographic entanglement entropy (HEE), mutual information (MI), and entanglement wedge cross-section (EWCS). Our results show that these measures display critical behavior at the phase transition points, with the EWCS exhibiting opposite temperature behavior compared to the HEE. Furthermore, we explore the behavior of thermodynamics and holographic quantum information at the zeroth-order phase transition point and find that it is opposite to that observed in the first-order phase transition. Additionally, we find that the critical exponents of all entanglement measures are twice those of the condensate. Our findings also suggest that the EWCS is a more sensitive indicator of the critical behavior of phase transitions than the HEE. Lastly, we uncover a universal inequality in the growth rates of EWCS and MI near critical points in thermal phase transitions, such as p-wave and s-wave superconductivity, suggesting that MI captures more information than EWCS when a phase transition first occurs.

Automated summary

In this paper, the mixed-state entanglement in a model of p-wave superconductivity phase transition using holographic methods is investigated. Several entanglement measures, including holographic entanglement entropy (HEE), mutual information (MI), and entanglement wedge cross-section (EWCS), are calculated. The results show critical behavior at the phase transition points, with the EWCS exhibiting opposite temperature behavior compared to the HEE. The behavior of thermodynamics and holographic quantum information at the zeroth-order phase transition point is found to be opposite to that observed in the first-order phase transition. Additionally, a universal inequality in the growth rates of EWCS and MI near critical points in thermal phase transitions is uncovered, suggesting that MI captures more information than EWCS when a phase transition first occurs.