PHYSICAL REVIEW B 110, 115402(2024)
Transport and Fusion of Majorana Zero Modes in the Presence of Nonadiabatic Transitions
Qiongyao Wang1,*, Jing Bai1,*, Luting Xu1, Wei Feng1,† and Xin-Qi Li1,2,‡
1 Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, Tianjin 300072, China
2 Center for Quantum Physics and Technologies, School of Physical Science and Technology, Inner Mongolia University, Hohhot 010021, China
* fwphy@tju.edu.cn, xinqi.li@tju.edu.cn
Abstract
We perform simulations for transport and nontrivial fusion of Majorana zero modes in topological superconducting quantum wires. We uncover interesting behaviors of nonadiabatic transition associated with the transport through mini-gate-controlled multiple-segment modulations. Owing to breaking of the initial fermion parity induced by nonadiabatic transitions, a deviation from the statistics of outcomes of nontrivial fusion arises and is analyzed. Moreover, we develop a measurement scheme to infer the amount of fermion parity breaking and nonadiabatic transition probability to excited states, based on the characteristic spectrum of measurement current by a quantum-point-contact detector, by measurement of the charge occupation dynamics in a fusion-outcome-probing quantum dot.
