“Exotic 3D topologically ordered states”

MATHEMATICAL PICTURE LANGUAGE

12/20/2019
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January 7, 2020 3:30 pm - 4:30 pm
Jefferson 356
Address: 17 Oxford Street, Cambridge, MA 02138 USA
Speaker:

Jin-Long Huang - University of California at San Diego

In the search for finite temperature quantum memory, people have found an exotic 3D topological model, called the fracton model. A large class of them are known to have foliation structure. However, whether a foliated non-abelian fracton exists or not is still an open question.

We made a step forward by providing an explicit entanglement renormalization quantum circuit for layer decoupling of the quantum double model. We also constructed a different kind of 3D topological model, which allows for non-abelian generalization. However, its relation to the fracton model and traditional 3D topological order is not clear. I’ll present how to use logical/symmetry operators and a pivotal idea of entanglement renormalization circuit to study ground states properties.