Dynamical simulation of the injection of vortices into a Majorana edge mode
arXiv:2307.07447 · doi:10.1103/PhysRevB.108.235309
Abstract
The chiral edge modes of a topological superconductor can transport fermionic quasiparticles, with Abelian exchange statistics, but they can also transport non-Abelian anyons: Edge-vortices bound to a -phase domain wall that propagates along the boundary. A pair of such edge-vortices is injected by the application of an flux bias over a Josephson junction. Existing descriptions of the injection process rely on the instantaneous scattering approximation of the adiabatic regime [Beenakker et al. Phys.Rev.Lett. 122, (2019)], where the internal dynamics of the Josephson junction is ignored. Here we go beyond that approximation in a time-dependent many-body simulation of the injection process, followed by a braiding of mobile edge-vortices with a pair of immobile Abrikosov vortices in the bulk of the superconductor. Our simulation sheds light on the properties of the Josephson junction needed for a successful implementation of a flying topological qubit.
arXiv comment13 pages 13 figures
References in corpus (27)
- Non-Abelian Anyons and Topological Quantum Computation
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
- Non-abelian statistics of half-quantum vortices in p-wave superconductors
- Kwant: a software package for quantum transport
- Majorana Zero Modes and Topological Quantum Computation
- Chiral Topological Superconductor From the Quantum Hall State
- Topological Superconductor Bi2Te3/NbSe2 heterostructures
- Chiral topological superconductor and half-integer conductance plateau from quantum anomalous Hall plateau transition
- Splitting of Majorana modes due to intervortex tunneling in a p + ip superconductor
- Metal-to-Insulator Switching in Quantum Anomalous Hall States
- Search for non-Abelian Majorana braiding statistics in superconductors
- Edge states and tunneling of non-Abelian quasiparticles in the nu=5/2 quantum Hall state and p+ip superconductors
- Observation of the zero Hall plateau in a quantum anomalous Hall insulator
- Observing Majorana bound states of Josephson vortices in topological superconductors
- Deterministic creation and braiding of chiral edge vortices
- Braiding errors in interacting Majorana quantum wires
- Theoretical, numerical, and experimental study of a flying qubit electronic interferometer
- Braiding Majorana Fermions and Creating Quantum Logic Gates with Vortices on a Periodic Pinning Structure
- Tkwant: a software package for time-dependent quantum transport
- Diabatic errors in Majorana braiding with bosonic bath
- Towards Realistic Time-Resolved Simulations of Quantum Devices
- Time-resolved electrical detection of chiral edge vortex braiding
- Half-integer charge injection by a Josephson junction without excess noise
- Toward flying qubit spectroscopy
- Majorana orthogonal transformation and Majorana zero modes in free fermionic systems
- Braiding Majorana Zero Mode in An Electrically Controllable Way