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Mixed State Entanglement and Thermal Phase Transitions
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Mixed State Entanglement and Thermal Phase Transitions
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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.
Forward citations
Cited by 3 Pith papers
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Mixed-state entanglement and phase transitions in Einstein-Born-Infeld massive gravity
In Einstein-Born-Infeld massive gravity, the entanglement wedge cross-section detects effective metal-insulator and Hawking-Page transitions more sensitively than other measures and reveals a universal critical expone...
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Mixed-state entanglement and phase transitions in Einstein-Born-Infeld massive gravity
In Einstein-Born-Infeld massive gravity, the second temperature derivative of the entanglement-wedge cross-section tracks the metal-insulator crossover, all entanglement measures diagnose Hawking-Page transitions, and...
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Diagnosing Critical Behavior in AdS Einstein-Maxwell-Scalar Theory via Holographic Entanglement Measures
In the EMS holographic model, entanglement entropy, mutual information, wedge cross-section, and butterfly velocity all show critical exponent 1—twice the scalar order parameter—and MI grows faster than EWCS across th...
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