Speaker:

Tzu-Chieh Wei, Stony Brook

Event Date and Time:

Mon, 2014-07-28 15:00 - 16:00
Local Contact:

Robert Raussendorf

Intended Audience:

Graduate

I will introduce a geometric measure of entanglement to quantify entanglement in toric code ground states. It turns out that the geometric entanglement exhibits a bulk law and an additional constant, the latter being the same as the topological entanglement entropy. A string tension can be applied to frustrate large loop configuration in the toric code ground state, and when the tension is sufficiently large, the wavefunction becomes a trivial product state. Somewhere in between the exact toric code ground state and the trivial product state, there must exist a phase transition. I will present our results to extract the "topological" part of the geometric entanglement as the string tension varies and demonstrate that it identifies the correct transition point. I will also discuss the possibility of using the geometric entanglement to identify the so-called minimally entropy states, and thus the modular matrices of topological models (toric code and beyond).