Time-dependent driving and topological protection in the fractional Josephson effect

Fuente: arXiv
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Autori principali: Kenawy, Ahmed, Hassler, Fabian, Riwar, Roman-Pascal
Natura: Preprint
Pubblicazione: 2023
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_version_ 1866916298132291584
author Kenawy, Ahmed
Hassler, Fabian
Riwar, Roman-Pascal
author_facet Kenawy, Ahmed
Hassler, Fabian
Riwar, Roman-Pascal
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2306_09440
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Time-dependent driving and topological protection in the fractional Josephson effect
Kenawy, Ahmed
Hassler, Fabian
Riwar, Roman-Pascal
Superconductivity
Mesoscale and Nanoscale Physics
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.
title Time-dependent driving and topological protection in the fractional Josephson effect
topic Superconductivity
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2306.09440