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TT: Fachverband Tiefe Temperaturen

TT 65: Poster Session Topological Topics

TT 65.21: Poster

Donnerstag, 19. März 2020, 15:00–19:00, P2/EG

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

In this project we study how Majorana edge modes behave under slow, quasi-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. By controlling the chemical potential we have the ability to adiabatically move these Majorana edge modes. During this process, we analyze the Majorana qubit's fidelity loss induced by disorder, interactions and thermal fluctuations. Furthermore, we numerically calculate the time-evolution of a Majorana qubit in such a setup in order to measure the decoherence from different sources.