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Universal phase transitions in topological lattice models

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It has been known for several years that it is possible to construct exactly solvable lattice models in 2+1 dimensions which realize a wide range of `topological’ phases, which can be distinguished by their different `topological orders’ characterizing the exotic statistics of the excitations which such phases exhibit. I will focus on a particular class of these models, and describe a general prescription of how to tune the Hamiltonian through a condensation transition, resulting in a new topological phase with non-trivial topological order. An intriguing feature of these transitions is that, for all of the models in the class I will discuss, the dynamics of the phase transition is that of the transverse field Ising model.

This talk is part of the TCM Blackboard Series series.

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