Entanglement wedge minimum cross-section in holographic massive gravity theory. (English) Zbl 1469.81006
Summary: We study the entanglement wedge cross-section (EWCS) in holographic massive gravity theory, in which a first and second-order phase transition can occur. We find that the mixed state entanglement measures, the EWCS and mutual information (MI) can characterize the phase transitions. The EWCS and MI show exactly the opposite behavior in the critical region, which suggests that the EWCS captures distinct degrees of freedom from that of the MI. More importantly, EWCS, MI and HEE all show the same scaling behavior in the critical region. We give an analytical understanding of this phenomenon. By comparing the quantum information behavior in the thermodynamic phase transition of holographic superconductors, we analyze the relationship and difference between them and provide two mechanisms of quantum information scaling behavior in the thermodynamic phase transition.
MSC:
| 81P42 | Entanglement measures, concurrencies, separability criteria |
| 81P45 | Quantum information, communication, networks (quantum-theoretic aspects) |
| 83C45 | Quantization of the gravitational field |
| 83E05 | Geometrodynamics and the holographic principle |
| 83D05 | Relativistic gravitational theories other than Einstein’s, including asymmetric field theories |
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