Journal
PHYSICAL REVIEW B
Volume 82, Issue 11, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.82.115126
Keywords
-
Funding
- Australian Research Council [FF0668731, DP0878830, DP1092513]
- Perimeter Institute for Theoretical Physics
- Australian Research Council [DP1092513] Funding Source: Australian Research Council
Ask authors/readers for more resources
Interacting systems of anyons pose a unique challenge to condensed-matter simulations due to their non-trivial exchange statistics. These systems are of great interest as they have the potential for robust universal quantum computation but numerical tools for studying them are as yet limited. We show how existing tensor network algorithms may be adapted for use with systems of anyons and demonstrate this process for the one-dimensional multiscale entanglement renormalization ansatz (MERA). We apply the MERA to infinite chains of interacting Fibonacci anyons, computing their scaling dimensions and local scaling operators. The scaling dimensions obtained are seen to be in agreement with conformal field theory. The techniques developed are applicable to any tensor network algorithm, and the ability to adapt these ansatze for use on anyonic systems opens the door for numerical simulation of large systems of free and interacting anyons in one and two dimensions.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available