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PERIMETER INSTITUTE RECORDED SEMINAR ARCHIVE

Simulation of Anyons Using Tensor Network Algorithms
Speaker(s): Robert Pfeifer
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.
Date: 28/01/2011 - 11:00 am
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