Institute for Quantum Information Seminar

Series: Institute for Quantum Information Seminar

Topological order with tensor networks on infinite cylinders: an explicit wavefunction for fractionalized quasi-particle excitations

Guifre Vidal, Perimeter Institute,

Starting from a microscopic Hamiltonian on an infinite cylinder, In Ref. [Cincio and Vidal, "Characterizing topological order by studying the ground states of an infinite cylinder", arXiv:1208.2623v1], a method to obtain a tensor network representation for the different ground states of a topologically ordered system was proposed. In this talk, I will review that approach and explain how to also obtain a tensor network representation for each of the different quasi-particle excitations of the emergent, topologically ordered medium, including those with fractionalized quantum numbers.

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For more information, please contact Ann Harvey by phone at 4964 or by email at [email protected] or visit http://www.iqim.caltech.edu/seminars/iqi_seminars.html.