Measuring Topological Order
- URL: http://arxiv.org/abs/2102.05677v2
- Date: Mon, 2 Aug 2021 20:56:52 GMT
- Title: Measuring Topological Order
- Authors: Parsa Bonderson
- Abstract summary: The order of a (2+1)D topological phase of matter is characterized by its chiral central charge and a unitary modular tensor category.
I discuss the topologically invariant quantities associated with these and identify ones that are useful for determining the topological order.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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.
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