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Séminaire Physique mathématique ICJ

Entanglement entropy in condensed matter systems

by Benoit Estienne (LPTHE, UPMC)

vendredi 25 mai 2018 de au (Europe/Paris)
at Institut Camille Jordan ( Fokko du Cloux )
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.  Contact Email: vignes@math.univ-lyon1.fr