Université Lyon 1,
Bât. Braconnier,
21 av. Claude Bernard,
69100 Villeurbanne
Description
Ideas coming from quantum information theory have provided invaluable insights and powerful tools for quantum many-body systems. One of the most basic tools in the arsenal of quantum information theory is (entanglement) entropy. A particularly striking phenomenon is the the “area law” of the entanglement entropy, which has been widely discussed in recent years in condensed matter and quantum field theories. Typically, one considers a many-particle state and a geometric partition of the space in two sub-regions. The von Neumann entropy of the reduced state of a sub-region measures the degree of entanglement between the two regions. The area law states that this entanglement entropy is proportional to the volume of the boundary of the sub-region.
I will start with an introduction to quantum entanglement, entanglement entropy and their applications in condensed matter. I will then present some recent results in the context of the quantum Hall effect.
