Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.07698 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914001260118016 |
|---|---|
| author | Gaur, Himanshu |
| author_facet | Gaur, Himanshu |
| contents | 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 $2$d 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 $2$d 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 | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_07698 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $2$-Rényi CCNR Negativity of Compact Boson for multiple disjoint intervals Gaur, Himanshu High Energy Physics - Theory Statistical Mechanics Quantum Physics 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 $2$d 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 $2$d 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. |
| title | $2$-Rényi CCNR Negativity of Compact Boson for multiple disjoint intervals |
| topic | High Energy Physics - Theory Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2411.07698 |