Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.18020 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917623569055744 |
|---|---|
| author | Long, Gaoping Chen, Qian Yang, Jinsong |
| author_facet | Long, Gaoping Chen, Qian Yang, Jinsong |
| contents | In this paper, we carry out the entanglement calculations on the coherent intertwiners. We first consider the entanglement introduced by the group-averaging of the tensor-product type intertwiner on a four-valents vertex. The result shows that the entanglement is determined by the probability distribution of recoupling spin, and this probability distribution is a well-behaved peak for the highest (and lowest) weight states. Further, we calculated explicitly the entanglement on gauge-invariant coherent intertwiner with four legs. Our numerical results show that the shape of the semiclassical polyhedron described by the coherent intertwiner can be related to the entanglement; In other words, the entanglement is controlled by the face-angle of the semiclassical polyhedron. Finally, we extend our analytical calculation to the coherent intertwiners with arbitrary number of legs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_18020 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Entanglement entropy of coherent intertwiner in loop quantum gravity Long, Gaoping Chen, Qian Yang, Jinsong General Relativity and Quantum Cosmology In this paper, we carry out the entanglement calculations on the coherent intertwiners. We first consider the entanglement introduced by the group-averaging of the tensor-product type intertwiner on a four-valents vertex. The result shows that the entanglement is determined by the probability distribution of recoupling spin, and this probability distribution is a well-behaved peak for the highest (and lowest) weight states. Further, we calculated explicitly the entanglement on gauge-invariant coherent intertwiner with four legs. Our numerical results show that the shape of the semiclassical polyhedron described by the coherent intertwiner can be related to the entanglement; In other words, the entanglement is controlled by the face-angle of the semiclassical polyhedron. Finally, we extend our analytical calculation to the coherent intertwiners with arbitrary number of legs. |
| title | Entanglement entropy of coherent intertwiner in loop quantum gravity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2403.18020 |