A new proposal for entanglement contour was proposed and tested by Qiang Wen, an associate professor in Shing-Tung Yau center.
The Entanglement contour function quantifies the contribution from each degree of freedom in a region to the entanglement entropy. Recently the author gave two proposals for the entanglement contour in two-dimensional theories. The first proposal is a fine structure analysis of the entanglement wedge, which applies to holographic theories. The second proposal is a claim that for general two-dimensional theories the partial entanglement entropy is given by a linear combination of entanglement entropies of relevant subsets inside the region. In this paper, we further study the partial entanglement entropy proposal by showing that it satisfies all the rational requirements proposed previously. We also extend the fine structure analysis from vacuum AdS space to BTZ black holes. Furthermore, we give a simple prescription to generate the local modular flows for two-dimensional theories from only the entanglement entropies without refer to the explicit Rindler transformations. This gives strong support for the partial entanglement entropyproposal.
This paper was recently published on Journal of High Energy Physics: