Preprint

FZJ-2024-00754

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Time-dependent driving and topological protection in the fractional Josephson effect

Kenawy, A. ; Hassler, F. ; Riwar, R.-P. (Corresponding author)FZJ*

2023
arXiv

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Please use a persistent id in citations: doi:10.48550/ARXIV.2306.09440

Abstract: The control of any type of quantum hardware invariably necessitates time-dependent driving. If the basis depends on the control parameter, the presence of a time-dependent control field yields an extra term in the Schrödinger equation that is often neglected. Here, we examine the effect of this term in a flux-controlled Majorana junction. We show that a time-varying flux gives rise to an electromotive force which is amplified when truncating to the junction's low-energy degrees of freedom. As a result, it compromises the robustness of the ground-state degeneracy present in the absence of the drive. The resulting flattening of the energy spectrum can be measured by a strong suppression of the dc supercurrent.

Keyword(s): Superconductivity (cond-mat.supr-con) ; Mesoscale and Nanoscale Physics (cond-mat.mes-hall) ; FOS: Physical sciences

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Contributing Institute(s):

1. Theoretische Nanoelektronik (PGI-2)

Research Program(s):

1. 5222 - Exploratory Qubits (POF4-522) (POF4-522)

Appears in the scientific report 2023

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