2-Rényi CCNR negativity of compact boson for multiple disjoint intervals
Abstract We investigate mixed-state bipartite entanglement between multiple disjoint intervals using the computable cross-norm criterion (CCNR). We consider entanglement between a single interval and the union of remaining disjoint intervals, and compute 2-Rényi CCNR negativity for a 2d massless com...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-08-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP08(2025)153 |
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| author | Himanshu Gaur |
| author_facet | Himanshu Gaur |
| author_sort | Himanshu Gaur |
| collection | DOAJ |
| description | Abstract We investigate mixed-state bipartite entanglement between multiple disjoint intervals using the computable cross-norm criterion (CCNR). We consider entanglement between a single interval and the union of remaining disjoint intervals, and compute 2-Rényi CCNR negativity for a 2d massless compact boson. The expression for 2-Rényi CCNR negativity is given in terms of cross-ratios and Riemann period matrices of Riemann surfaces involved in the calculation. In general, the Riemann surfaces involved in the calculation of n-Rényi CCNR negativity do not possess a Z n symmetry. We also evaluate the reflected Rényi entropy related to the 2-Rényi CCNR negativity. This reflected Rényi entropy is a universal quantity. We extend these calculations to the 2d massless Dirac fermions as well. Finally, the analytical results are checked against the numerical evaluations in the tight-binding model and are found to be in good agreement. |
| format | Article |
| id | doaj-art-5d7016ccd9634652855a473b7c305e59 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-5d7016ccd9634652855a473b7c305e592025-08-24T11:05:18ZengSpringerOpenJournal of High Energy Physics1029-84792025-08-012025813010.1007/JHEP08(2025)1532-Rényi CCNR negativity of compact boson for multiple disjoint intervalsHimanshu Gaur0Department of Physics, Indian Institute of Technology BombayAbstract We investigate mixed-state bipartite entanglement between multiple disjoint intervals using the computable cross-norm criterion (CCNR). We consider entanglement between a single interval and the union of remaining disjoint intervals, and compute 2-Rényi CCNR negativity for a 2d massless compact boson. The expression for 2-Rényi CCNR negativity is given in terms of cross-ratios and Riemann period matrices of Riemann surfaces involved in the calculation. In general, the Riemann surfaces involved in the calculation of n-Rényi CCNR negativity do not possess a Z n symmetry. We also evaluate the reflected Rényi entropy related to the 2-Rényi CCNR negativity. This reflected Rényi entropy is a universal quantity. We extend these calculations to the 2d massless Dirac fermions as well. Finally, the analytical results are checked against the numerical evaluations in the tight-binding model and are found to be in good agreement.https://doi.org/10.1007/JHEP08(2025)153Field Theories in Lower DimensionsScale and Conformal Symmetries |
| spellingShingle | Himanshu Gaur 2-Rényi CCNR negativity of compact boson for multiple disjoint intervals Journal of High Energy Physics Field Theories in Lower Dimensions Scale and Conformal Symmetries |
| title | 2-Rényi CCNR negativity of compact boson for multiple disjoint intervals |
| title_full | 2-Rényi CCNR negativity of compact boson for multiple disjoint intervals |
| title_fullStr | 2-Rényi CCNR negativity of compact boson for multiple disjoint intervals |
| title_full_unstemmed | 2-Rényi CCNR negativity of compact boson for multiple disjoint intervals |
| title_short | 2-Rényi CCNR negativity of compact boson for multiple disjoint intervals |
| title_sort | 2 renyi ccnr negativity of compact boson for multiple disjoint intervals |
| topic | Field Theories in Lower Dimensions Scale and Conformal Symmetries |
| url | https://doi.org/10.1007/JHEP08(2025)153 |
| work_keys_str_mv | AT himanshugaur 2renyiccnrnegativityofcompactbosonformultipledisjointintervals |