Simulation of Anyons Using Tensor Network Algorithms

          @misc{ scivideos_PIRSA:11010110,
            doi = {10.48660/11010110},
            url = {https://pirsa.org/11010110},
            author = {Pfeifer, Robert},
            keywords = {Quantum Matter},
            language = {en},
            title = {Simulation of Anyons Using Tensor Network Algorithms},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2011},
            month = {jan},
            note = {PIRSA:11010110 see, \url{https://scivideos.org/pirsa/11010110}}
          }
          

Abstract

The simulation of systems of anyons offers a significant challenge to the condensed matter physicist. These systems are presently of substantial theoretical and experimental interest due to their potential for universal quantum computation, but due to their non-trivial exchange statistics, the tools available for their study have been limited. In this talk, I will present a formalism whereby any existing tensor network algorithm may be adapted for use with both Abelian and non-Abelian anyons, culminating in our recent simulations of infinite 1-D chains of interacting anyons using the Multi-scale Entanglement Renormalisation Ansatz, or MERA, demonstrating that tensor network algorithms may be effectively employed in the study of anyonic systems.