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PIRSA:11010110

Simulation of Anyons Using Tensor Network Algorithms

APA

Pfeifer, R. (2011). Simulation of Anyons Using Tensor Network Algorithms. Perimeter Institute for Theoretical Physics. https://pirsa.org/11010110

Robert Pfeifer Mosgiel Health Centre

Talk numberPIRSA:11010110
Source RepositoryPIRSA
Collection

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.