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

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Josephson effect Physics MAJORANA Supercurrent Degeneracy (biology) Robustness (evolution) Flattening Degenerate energy levels Quantum mechanics Topology (electrical circuits) Quantum electrodynamics Superconductivity Engineering Electrical engineering Gene Astronomy Biology Bioinformatics Chemistry Biochemistry

Ahmed Kenawy , Fabian Hassler , Roman-Pascal Riwar ·

YOU? · · 2023 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2306.09440 · OA: W4381245660

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.