By J-Prof. Dr. Roman Orus, Institut für Physik, Johannes Gutenberg-Universität 55099 Mainz, Germany

Description: the aim of this course is to provide the basics on the necessary tools to understand quantum many-body systems from a quantum information perspective. We will review the theory of quantum entanglement and its quantification, its application in the study of quantum phase transitions, and its implications for quantum matter through the tensor network representation of quantum states. As a practical application, we will explain the basics of the Density Matrix Renormalization Group algorithm, the most successful numerical tool in the study of the low-energy properties of 1d quantum lattice systems.

The course will consist of 4 lectures of 90 minutes each. The lectures will be on Thursday at 10h30.

March 9th: Entanglement and its quantification
March 16th:Entanglement in quantum many-body systems
March 23rd: Tensor network theory: Matrix Product States
March 29th: 1d ground states: Density Matrix Renormalization Group (DMRG)