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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