Geometric logarithmic negativity in integer quantum Hall states*

We study the quantum entanglement structure of integer quantum Hall (IQH) states via the logarithmic negativity (LN), and the mutual information for various fillings. Unlike the entanglement entropy, the LN provides an accurate measure of quantum entanglement even for mixed states, which enables us to study the quantum entanglement encoded in various tripartite geometries. Working at zero temperature, we focus on an important class of regions that contain corners, leading to a geometric angle-dependent contribution to the LN at different fillings. We find surprising relations of these corner terms by comparing them at different fillings, and with the mutual information, as well as charge fluctuations. In a follow-up talk by Juliette Geoffrion, the finite temperature properties will be discussed.