Mutual information and correlation measures in holographic RG flows
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866910636770852864 |
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| author | Chowdhury, Iftekher S. Akhouri, Binay Prakash Haque, Shah Howard, Eric |
| author_facet | Chowdhury, Iftekher S. Akhouri, Binay Prakash Haque, Shah Howard, Eric |
| contents | This paper investigates the behavior of mutual information, entanglement negativity, and multipartite correlations in holographic RG flows, particularly during phase transitions. Mutual information provides a UV-finite measure of total correlations between subsystems, while entanglement negativity and multipartite correlations offer finer insights into quantum structures, especially near critical points. Through numerical simulations, we show that while mutual information remains relatively smooth, both entanglement negativity and multipartite correlations exhibit sharp changes near phase transitions. These results support the hypothesis that multipartite correlations play a dominant role in signaling critical phenomena in strongly coupled quantum systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_04645 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Mutual information and correlation measures in holographic RG flows Chowdhury, Iftekher S. Akhouri, Binay Prakash Haque, Shah Howard, Eric Quantum Physics General Relativity and Quantum Cosmology High Energy Physics - Theory This paper investigates the behavior of mutual information, entanglement negativity, and multipartite correlations in holographic RG flows, particularly during phase transitions. Mutual information provides a UV-finite measure of total correlations between subsystems, while entanglement negativity and multipartite correlations offer finer insights into quantum structures, especially near critical points. Through numerical simulations, we show that while mutual information remains relatively smooth, both entanglement negativity and multipartite correlations exhibit sharp changes near phase transitions. These results support the hypothesis that multipartite correlations play a dominant role in signaling critical phenomena in strongly coupled quantum systems. |
| title | Mutual information and correlation measures in holographic RG flows |
| topic | Quantum Physics General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2410.04645 |