Regensburg 2019 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 18: Poster Session: Topological Topics (joint session TT/MA)

TT 18.8: Poster

Montag, 1. April 2019, 15:00–18:30, Poster D

Decoherence of Majorana edge modes under adiabatic drives — •Zihao Gao, Yuval Vinkler-Aviv, and Achim Rosch — Institute for Theoretical Physics, University of Cologne, D-50937 Cologne, Germany

We study how Majorana edge modes behave under adiabatic movement in the presence of disorder, interactions and thermal fluctuations. In a 1D Kitaev chain, zero-energy Majorana bound states are formed at the edges of the topological region. Such Majorana edge modes are robust due to protection by an energy gap and their spatial separation. Therefore they can effectively encode a qubit, and are believed to be useful for quantum computation. By controlling the chemical potential we have the ability to adiabatically move these Majorana edge modes. However, during this process, disorder, interactions and thermal fluctuations can be harmful to the fidelity of the Majorana qubit. We numerically calculate the time-evolution of a Majorana qubit in such a setup in order to measure the decoherence from different sources, applying approximations based on exploiting the adiabatic nature of the movement and the protection by the gap.