EPL, 151, 16004 (2025)
Probing nontrivial fusion of Majorana zero modes via near-adiabatic coupling
Jing Bai1, Luting Xu1, Wei Feng1,a and Xin-Qi Li2,3,b
1 Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, Tianjin, China.
2 Research Center for Quantum Physics and Technologies, Inner Mongolia University, Hohhot, China.
3 School of Physical Science and Technology, Inner Mongolia University, Hohhot, China.
* fwphy@tju.edu.cn, xinqi.li@tju.edu.cn
Abstract
We propose and simulate a near-adiabatically coupling probing scheme for nontrivial fusion of a pair of Majorana zero modes (MZMs). The scheme can avoid the complexity of oscillating charge occupation in the probing quantum dot, making thus practical measurements more feasible. We also show how to extract the information of nonadiabatic transition and fermion parity violation caused during moving the MZMs together to fuse, from the initial states prepared with definite fermion parity. All the simulations, including the effective coupling between the fusing MZMs, and their coupling to the probing quantum dot, are based on the lattice model of a Rashba quantum wire in proximity contact with an s-wave superconductor, under the modulation of mini-gate voltage control.
