Pfeifer, R. (2011). Simulation of Anyons Using Tensor Network Algorithms. Perimeter Institute for Theoretical Physics. https://pirsa.org/11010110
MLA
Pfeifer, Robert. Simulation of Anyons Using Tensor Network Algorithms. Perimeter Institute for Theoretical Physics, Jan. 28, 2011, https://pirsa.org/11010110
BibTex
@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/index.php/pirsa/11010110}}
}
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.