PIRSA:11060007

Introduction to Tensor Network Algorithms - Lecture 4

Pfeifer, R. (2011). Introduction to Tensor Network Algorithms - Lecture 4. Perimeter Institute. https://pirsa.org/11060007

Pfeifer, Robert. Introduction to Tensor Network Algorithms - Lecture 4. Perimeter Institute, Jun. 17, 2011, https://pirsa.org/11060007 

          @misc{ pirsa_PIRSA:11060007,
            doi = {},
            url = {https://pirsa.org/11060007},
            author = {Pfeifer, Robert},
            keywords = {},
            language = {en},
            title = {Introduction to Tensor Network Algorithms - Lecture 4},
            publisher = {Perimeter Institute},
            year = {2011},
            month = {jun},
            note = {PIRSA:11060007 see, \url{https://pirsa.org}}
          }

Robert Pfeifer Mosgiel Health Centre

Collection
Talk Type Course

Abstract

Tensor network algorithms are a powerful technique for the study of quantum systems in condensed matter physics. In this short series of lectures, I will present an applied perspective on tensor network algorithms. Topics to be covered will include motivation and methodology, graphical notation, Matrix Product States (MPS) and the Time-Evolving Block Decimation (TEBD) algorithm, identifying the capabilities and limitations of tensor network algorithms, the Multi-scale Entanglement Renormalisation Ansatz (MERA) and the study of systems at criticality, and the exploitation of global internal symmetries. The intent of this lecture series is to provide attendees with the necessary theoretical background to be able to understand and implement the more common tensor network algorithms.