Time-dependent driving and topological protection in the fractional Josephson effect
arXiv:2306.09440 · doi:10.1103/PhysRevB.109.245423
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.
6 pages, 3 figures; supplementary material (5 pages, 1 figure) at the end of main text
References in corpus (21)
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- Introduction to topological superconductivity and Majorana fermions
- Symmetry and Higher-Order Exceptional Points
- Symmetry breaking and error correction in open quantum systems
- Many-body topology of non-Hermitian systems
- Majorana nanowires for topological quantum computation
- Symmetry Classification and Universality in Non-Hermitian Many-Body Quantum Chaos by the Sachdev-Ye-Kitaev Model
- Circuit quantization in the presence of time-dependent external flux
- Symmetry classes of open fermionic quantum matter
- Fragility of Time-Reversal Symmetry Protected Topological Phases
- Symmetry and topological classification of Floquet non-Hermitian systems
- Detecting topological superconductivity using low-frequency doubled Shapiro steps
- Proximity-induced superconductivity in (BiSb)Te topological-insulator nanowires
- Top-down fabrication of bulk-insulating topological insulator nanowires for quantum devices
- Gate-induced decoupling of surface and bulk state properties in selectively-deposited BiTe nanoribbons
- Fractional Josephson effect versus fractional charge in superconducting-normal metal hybrid circuits
- Majorana-induced DC Shapiro steps in topological Josephson junctions
- Critical current for an insulating regime of an underdamped current-biased topological Josephson junction
- Transport theory for topological Josephson junctions with a Majorana qubit
- Fate of symmetry protected coherence in open quantum system