TY - JOUR

T1 - Demonstrating Majorana non-Abelian properties using fast adiabatic charge transfer

AU - Krøjer, Svend

AU - Seoane Souto, Rubén

AU - Flensberg, Karsten

N1 - Publisher Copyright: © 2022 authors. Published by the American Physical Society.

PY - 2022/1/28

Y1 - 2022/1/28

N2 - Demonstration of Majorana non-Abelian properties is a major challenge in the field of topological superconductivity. In this work, we propose a minimal device and protocol for testing non-Abelian properties using charge-transfer operations between a quantum dot and two Majorana bound states combined with reading the parity state using a second dot. We use an adiabatic perturbation theory to find fast adiabatic paths to perform operations and to account for nonadiabatic errors. We find the ideal parameter sweep and a region in parameter space that reduces the charge-transfer operation time 1-2 orders of magnitude with respect to constant velocity driving. Using realistic parameters, we estimate that the lower bound for the timescale can be reduced to ∼10ns. Deviations from the ideal parameters lead to the accumulation of an undesired dynamical phase, affecting the outcome of the proposed protocol. We furthermore suggest to reduce the influence from the dynamical phase using a flux echo. The echo protocol is based on the 4π periodicity of the topological state, absent for trivial bound states.

AB - Demonstration of Majorana non-Abelian properties is a major challenge in the field of topological superconductivity. In this work, we propose a minimal device and protocol for testing non-Abelian properties using charge-transfer operations between a quantum dot and two Majorana bound states combined with reading the parity state using a second dot. We use an adiabatic perturbation theory to find fast adiabatic paths to perform operations and to account for nonadiabatic errors. We find the ideal parameter sweep and a region in parameter space that reduces the charge-transfer operation time 1-2 orders of magnitude with respect to constant velocity driving. Using realistic parameters, we estimate that the lower bound for the timescale can be reduced to ∼10ns. Deviations from the ideal parameters lead to the accumulation of an undesired dynamical phase, affecting the outcome of the proposed protocol. We furthermore suggest to reduce the influence from the dynamical phase using a flux echo. The echo protocol is based on the 4π periodicity of the topological state, absent for trivial bound states.

U2 - 10.1103/PhysRevB.105.045425

DO - 10.1103/PhysRevB.105.045425

M3 - Journal article

AN - SCOPUS:85124227234

VL - 105

JO - Physical Review B

JF - Physical Review B

SN - 2469-9950

IS - 4

M1 - 045425

ER -