2020/09/21 by Peng Liu, Jian-Pin Wu
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Condensed matter physics #Entropy (arrow of time) #Geometry #Holography #Mathematics #Mutual information #Phase (matter) #Phase transition #Physics #Quantum #Quantum Information and Cryptography #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Regular polygon #Statistical physics #Statistics #Superconductivity #Thermal #Thermodynamics #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.104.046017
published as Phys. Rev. D 104, 046017 (2021) · 24 pages, 13 figures, References added
arxiv created 2020/09/21 · openalex publication_date 2021/08/17 · arxiv updated 2021/08/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 wedge minimum cross section (EWCS) over the superconductivity phase transition. We find that HEE, MI, and EWCS 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, EWCS can exhibit either the same or the opposite behavior as MI, depending on the size of the specific configuration. These results show that EWCS captures more abundant information than HEE and MI. We also provide a new algorithm to compute the EWCS for general configurations.