Diagnosing Effective Metal-Insulator and Hawking-Page Transitions: A Mixed-State Entanglement Perspective in Einstein-Born-Infeld-Massive Gravity
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| Format: | Preprint |
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2025
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| author | Yang, Zhe Wu, Jian-Pin Liu, Peng |
| author_facet | Yang, Zhe Wu, Jian-Pin Liu, Peng |
| contents | We study mixed-state entanglement measures in Einstein-Born-Infeld (EN-BI) massive gravity theory, a model exhibiting both Hawking-Page transitions and effective metal-insulator transitions (MIT) at finite temperatures. Our comprehensive investigation reveals that the entanglement wedge cross-section (EWCS), a novel mixed-state entanglement measure, demonstrates unique properties in detecting phase transitions. For effective MIT, we find the higher-order terms of EWCS align closely with the critical point, outperforming measures like holographic entanglement entropy (HEE) and mutual information (MI) in finite temperature systems. This enhanced sensitivity provides a more accurate tool for probing effective phase transitions in a finite temperature system. In Hawking-Page transitions, we observe that all entanglement measures effectively diagnose both first-order and second-order phase transitions, with EWCS showing configuration-independent behavior. Importantly, we discover that all geometry-related quantities, including entanglement measures, demonstrate a universal critical exponent of 1/3 near the second-order phase transition point, suggesting fundamental connections between quantum information theory and critical phenomena in gravitational systems. Our results highlight EWCS's potential as a powerful probe for phase transitions. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2601_00071 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Diagnosing Effective Metal-Insulator and Hawking-Page Transitions: A Mixed-State Entanglement Perspective in Einstein-Born-Infeld-Massive Gravity Yang, Zhe Wu, Jian-Pin Liu, Peng High Energy Physics - Theory General Relativity and Quantum Cosmology We study mixed-state entanglement measures in Einstein-Born-Infeld (EN-BI) massive gravity theory, a model exhibiting both Hawking-Page transitions and effective metal-insulator transitions (MIT) at finite temperatures. Our comprehensive investigation reveals that the entanglement wedge cross-section (EWCS), a novel mixed-state entanglement measure, demonstrates unique properties in detecting phase transitions. For effective MIT, we find the higher-order terms of EWCS align closely with the critical point, outperforming measures like holographic entanglement entropy (HEE) and mutual information (MI) in finite temperature systems. This enhanced sensitivity provides a more accurate tool for probing effective phase transitions in a finite temperature system. In Hawking-Page transitions, we observe that all entanglement measures effectively diagnose both first-order and second-order phase transitions, with EWCS showing configuration-independent behavior. Importantly, we discover that all geometry-related quantities, including entanglement measures, demonstrate a universal critical exponent of 1/3 near the second-order phase transition point, suggesting fundamental connections between quantum information theory and critical phenomena in gravitational systems. Our results highlight EWCS's potential as a powerful probe for phase transitions. |
| title | Diagnosing Effective Metal-Insulator and Hawking-Page Transitions: A Mixed-State Entanglement Perspective in Einstein-Born-Infeld-Massive Gravity |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2601.00071 |