Freiburg 2019 – scientific programme

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FM: Fall Meeting

FM 66: Poster: Entanglement

FM 66.2: Poster

Wednesday, September 25, 2019, 16:30–18:30, Tents

Robustness of Topological Order in Toric Code in various setups — •Amit Jamadagni Gangapuram and Hendrik Weimer — Institut für Theoretische Physik, Leibniz Universität Hannover, Hannover, Germany.

We analyze the robustness of topological order in the toric code in various setups with open boundaries. We probe for the presence of a possible phase transition in (a) closed systems in the presence of external perturbation (b) interpolating different topological phases both in closed and open setups. For the latter, we show that interpolating the underlying topology as well as interpolating between different boundaries induces a phase transition in closed systems and we further extend this to study similar behavior in open systems by engineering effective dissipative collapse operators. To detect the phase transition we compute different numerical signatures like the Ground State Degeneracy (GSD), Topological Entanglement Entropy (TEE), Minimally Entangled States (MES), the expectation of the loop operator among others. The open boundary conditions introduce cases with non-degenerate ground states leading to an interesting analysis of topological order, both in open and closed systems.