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

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.

arXiv comment6 pages, 3 figures; supplementary material (5 pages, 1 figure) at the end of main text

References in corpus (55)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Unpaired Majorana fermions in quantum wires
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Helical liquids and Majorana bound states in quantum wires
• Classification of topological quantum matter with symmetries
• New directions in the pursuit of Majorana fermions in solid state systems
• Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• Periodic table for topological insulators and superconductors
• Exceptional Topology of Non-Hermitian Systems
• Topological superconductors: a review
• Symmetry and Topology in Non-Hermitian Physics
• Observation of the fractional ac Josephson effect: the signature of Majorana particles
• Josephson Current and Noise at a Superconductor-Quantum Spin Hall Insulator-Superconductor Junction
• Introduction to topological superconductivity and Majorana fermions
• Majorana fermions in chains of magnetic atoms on a superconductor
• Massive Dirac fermions and spin physics in an ultrathin film of topological insulator
• Oscillatory crossover from two dimensional to three dimensional topological insulators
• Topological superconducting phase in helical Shiba chains
• $4\pi$-periodic Josephson supercurrent in HgTe-based topological Josephson junctions
• Anomalous Finite Size Effects on Surface States in the Topological Insulator Bi${}_2$Se${}_3$
• Gapless Andreev bound states in the quantum spin Hall insulator HgTe
• Topological Superconductivity in a Planar Josephson Junction
• Two-dimensional platform for networks of Majorana bound states
• Symmetry and Higher-Order Exceptional Points
• Tenfold Way for Quadratic Lindbladians
• Majorana Zero Modes in 1D Quantum Wires Without Long-Ranged Superconducting Order
• Symmetry breaking and error correction in open quantum systems
• Many-body topology of non-Hermitian systems
• Majorana nanowires for topological quantum computation
• Probing the topology of density matrices
• 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
• Topology of one dimensional quantum systems out of equilibrium
• Symmetry classes of open fermionic quantum matter
• Josephson junction dynamics in the presence of $2\pi$- and $4\pi$-periodic supercurrents
• Effects of the electrostatic environment on the Majorana nanowire devices
• Classification of topological insulators and superconductors out of equilibrium
• Joule overheating poisons the fractional ac Josephson effect in topological Josephson junctions
• 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 (Bi${}_{1-x}$Sb${}_x$)${}_2$Te${}_3$ topological-insulator nanowires
• Fractional Josephson Effect in Number-Conserving Systems
• Fractional charges in conventional sequential electron tunneling
• Top-down fabrication of bulk-insulating topological insulator nanowires for quantum devices
• Hysteresis from nonlinear dynamics of Majorana modes in topological Josephson junctions
• Quasiparticle poisoning effects on the dynamics of topological Josephson junctions
• Gate-induced decoupling of surface and bulk state properties in selectively-deposited Bi${}_2$Te${}_3$ nanoribbons
• Fractional Josephson effect versus fractional charge in superconducting-normal metal hybrid circuits
• Detecting parity effect in a superconducting device in the presence of parity switches
• 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

Cited by in corpus (1)

• Interplay between evanescent scattering modes and finite dispersion in superconducting junctions