A field theory study of entanglement wedge cross section: odd entropy
Abstract We study odd entanglement entropy (odd entropy in short), a candidate of measure for mixed states holographically dual to the entanglement wedge cross section, in two-dimensional free scalar field theories. Our study is restricted to Gaussian states of scale-invariant theories as well as th...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP08(2020)078 |
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| author | Ali Mollabashi Kotaro Tamaoka |
| author_facet | Ali Mollabashi Kotaro Tamaoka |
| author_sort | Ali Mollabashi |
| collection | DOAJ |
| description | Abstract We study odd entanglement entropy (odd entropy in short), a candidate of measure for mixed states holographically dual to the entanglement wedge cross section, in two-dimensional free scalar field theories. Our study is restricted to Gaussian states of scale-invariant theories as well as their finite temperature generalizations, for which we show that odd entropy is a well-defined measure for mixed states. Motivated from holographic results, the difference between odd and von Neumann entropy is also studied. In particular, we show that large amounts of quantum correlations ensure the odd entropy to be larger than von Neumann entropy, which is qualitatively consistent with the holographic CFT. In general cases, we also find that this difference is not even a monotonic function with respect to size of (and distance between) subsystems. |
| first_indexed | 2024-12-20T16:56:58Z |
| format | Article |
| id | doaj.art-3a84a4b3f9384d31bddc95c072b2976a |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-20T16:56:58Z |
| publishDate | 2020-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-3a84a4b3f9384d31bddc95c072b2976a2022-12-21T19:32:42ZengSpringerOpenJournal of High Energy Physics1029-84792020-08-012020812410.1007/JHEP08(2020)078A field theory study of entanglement wedge cross section: odd entropyAli Mollabashi0Kotaro Tamaoka1Max-Planck-Institut for Physics, Werner-Heisenberg-InstitutCenter for Gravitational Physics, Yukawa Institute for Theoretical Physics (YITP), Kyoto UniversityAbstract We study odd entanglement entropy (odd entropy in short), a candidate of measure for mixed states holographically dual to the entanglement wedge cross section, in two-dimensional free scalar field theories. Our study is restricted to Gaussian states of scale-invariant theories as well as their finite temperature generalizations, for which we show that odd entropy is a well-defined measure for mixed states. Motivated from holographic results, the difference between odd and von Neumann entropy is also studied. In particular, we show that large amounts of quantum correlations ensure the odd entropy to be larger than von Neumann entropy, which is qualitatively consistent with the holographic CFT. In general cases, we also find that this difference is not even a monotonic function with respect to size of (and distance between) subsystems.http://link.springer.com/article/10.1007/JHEP08(2020)078AdS-CFT CorrespondenceConformal Field TheoryField Theories in Lower Dimensions |
| spellingShingle | Ali Mollabashi Kotaro Tamaoka A field theory study of entanglement wedge cross section: odd entropy Journal of High Energy Physics AdS-CFT Correspondence Conformal Field Theory Field Theories in Lower Dimensions |
| title | A field theory study of entanglement wedge cross section: odd entropy |
| title_full | A field theory study of entanglement wedge cross section: odd entropy |
| title_fullStr | A field theory study of entanglement wedge cross section: odd entropy |
| title_full_unstemmed | A field theory study of entanglement wedge cross section: odd entropy |
| title_short | A field theory study of entanglement wedge cross section: odd entropy |
| title_sort | field theory study of entanglement wedge cross section odd entropy |
| topic | AdS-CFT Correspondence Conformal Field Theory Field Theories in Lower Dimensions |
| url | http://link.springer.com/article/10.1007/JHEP08(2020)078 |
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