Entangled spin network states

Loops 2015, Erlangen

We present a class of entangled spin network states that are labeled by symplectic matrices and are generated via unitary transformations of the Ashtekar-Lewandowski vacuum. We show that the entanglement entropy between a subgraph and its complement can be calculated analytically as a function of the symplectic matrix labeling the state. In particular, we identify states whose entanglement entropy satisfies an area law. Projecting these states onto the kinematical Hilbert space provides a new candidate for highly entangled semi-classical states. This talk is based on work with Eugenio Bianchi & Nelson Yokomizo.