Le contenu de cette page n’est pas disponible en français. Veuillez nous en excuser.

Simulation of Anyons Using Tensor Network Algorithms

Playing this video requires the latest flash player from Adobe.

Download link (right click and 'save-as') for playing in VLC or other compatible player.

Recording Details

Scientific Areas: 
PIRSA Number: 


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.