Entanglement Entropy of Annulus in Three Dimensions

Understand

The entanglement entropy of an annulus is examined in a three-dimensional system with or without a gap.

• For a free massive scalar field theory, we numerically calculate the mutual information across an annulus.
• We also study the holographic mutual information in the CGLP background describing a gapped field theory.
• We discover four types of solutions as the minimal surfaces for the annulus and classify the phase diagrams by varying the inner and outer radii.