Measuring Topological Order
Strongly Correlated Electrons
2021-08-04 v2 Mesoscale and Nanoscale Physics
Mathematical Physics
math.MP
Quantum Physics
Abstract
The topological order of a (2+1)D topological phase of matter is characterized by its chiral central charge and a unitary modular tensor category that describes the universal fusion and braiding properties of its anyonic quasiparticles. I discuss the topologically invariant quantities associated with these and identify ones that are useful for determining the topological order. I propose a variety of physical experiments that probe these quantities and detail the relation of the measured data to the topological invariants.
Cite
@article{arxiv.2102.05677,
title = {Measuring Topological Order},
author = {Parsa Bonderson},
journal= {arXiv preprint arXiv:2102.05677},
year = {2021}
}
Comments
32 pages, 10 figures; v2: minor corrections and updates