PIRSA:11010110 Scientific Series Condensed Matter

DOI10.48660/11010110

Series: Quantum Matter

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

Pfeifer, Robert. Simulation of Anyons Using Tensor Network Algorithms. Perimeter Institute, Jan. 28, 2011, https://pirsa.org/11010110 

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

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.

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