Year: 2024
Type: article
Abstract: 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 4-valents vertex. Then, we calculate explicitly the entanglement carried by the gauge-invariant coherent intertwiner with four legs. Our numerical results show that the entanglement can be controlled by the local semiclassical geometry described by the coherent intertwiner. We also extend our analytical calculation to the coherent intertwiners with an arbitrary number of legs. Especially, we apply the previous results to the entanglement of the spin-network state labeled by coherent intertwiners, with the network puncturing a boundary by its vertices. We show that the entanglement of such spin-network state is not only determined by the area of the boundary but also carries a quantum correction controlled by the semiclassical geometry associated to the vertices puncturing the boundary.
Authors: Gaoping Long, Qian Chen, Jinsong Yang
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4402270068