Superconducting islands with semiconductor-nanowire-based topological Josephson junctions
arXiv:2003.02852 · doi:10.1103/PhysRevB.102.094518
Abstract
We theoretically study superconducting islands based on semiconductor-nanowire Josephson junctions and take into account the presence of subgap quasiparticle excitations in the spectrum of the junction. Our method extends the standard model Hamiltonian for a superconducting charge qubit and replaces the Josephson potential by the Bogoliubov--de Gennes Hamiltonian of the nanowire junction, projected onto the relevant low-energy subgap subspace. This allows to fully incorporate the coherent dynamics of subgap levels in the junction. The combined effect of spin-orbit coupling and Zeeman energy in the nanowires forming the junction triggers a topological transition, where the subgap levels evolve from finite-energy Andreev bound states into near-zero energy Majorana bound states. The interplay between the microscopic energy scales governing the nanowire junction (the Josephson energy, the Majorana coupling and the Majorana energy splitting), with the charging energy of the superconducting island, gives rise to a great variety of physical regimes. Based on this interplay of different energy scales, we fully characterize the microwave response of the junction, from the Cooper pair box to the transmon regimes, and show how the presence of Majoranas can be detected through distinct spectroscopic features. In split-junction geometries, the plasma mode couples to the phase-dispersing subgap levels resulting from Majorana hybridization via a Jaynes--Cummings-like interaction. As a consequence of this interaction, higher order plasma excitations in the junction inherit Majorana properties, including the effect.
arXiv comment18 pages, 19 figures. New section about split junctions. Final published version. See also accompanying paper arXiv:2003.02858
References in corpus (77)
- Non-Abelian Anyons and Topological Quantum Computation
- 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
- Charge insensitive qubit design derived from the Cooper pair box
- Helical liquids and Majorana bound states in quantum wires
- Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
- New directions in the pursuit of Majorana fermions in solid state systems
- Search for Majorana fermions in superconductors
- Electron transport through double quantum dots
- Topological superconductors: a review
- Majorana Zero Modes and Topological Quantum Computation
- Exponential Protection of Zero Modes in Majorana Islands
- Josephson Current and Noise at a Superconductor-Quantum Spin Hall Insulator-Superconductor Junction
- Realizing Majorana zero modes in superconductor-semiconductor heterostructures
- Quantum information processing with superconducting circuits: a review
- Introduction to topological superconductivity and Majorana fermions
- A Semiconductor Nanowire-Based Superconducting Qubit
- Transport spectroscopy of NS nanowire junctions with Majorana fermions
- Majorana Fermions and Topology in Superconductors
- Towards a realistic transport modeling in a superconducting nanowire with Majorana fermions
- A Majorana smoking gun for the superconductor-semiconductor hybrid topological system
- Realization of microwave quantum circuits using hybrid superconducting-semiconducting nanowire Josephson elements
- AC Josephson effect in finite-length nanowire junctions with Majorana modes
- Superconducting Gatemon Qubit based on a Proximitized Two-Dimensional Electron Gas
- Flux-induced Majorana modes in full-shell nanowires
- Flux-induced topological superconductivity in full-shell nanowires
- Topological superconductivity in full shell proximitized nanowires
- Exciting Andreev pairs in a superconducting atomic contact
- Spin-orbit splitting of Andreev states revealed by microwave spectroscopy
- Direct microwave measurement of Andreev-bound-state dynamics in a proximitized semiconducting nanowire
- Quantum coherent control of a hybrid superconducting circuit made with graphene-based van der Waals heterostructures
- Top-transmon: hybrid superconducting qubit for parity-protected quantum computation
- Effects of gate-induced electric fields on semiconductor Majorana nanowires
- Microwave spectroscopy of spinful Andreev bound states in ballistic semiconductor Josephson junctions
- Majorana splitting from critical currents in Josephson junctions
- Multiple Andreev reflection and critical current in topological superconducting nanowire junctions
- Phenomenology and Dynamics of Majorana Josephson Junction
- Evolution of Nanowire Transmons and Their Quantum Coherence in Magnetic Field
- Gatemon Benchmarking and Two-Qubit Operation
- Orbital effect of magnetic field on the Majorana phase diagram
- Signatures of topological Josephson junctions
- A graphene transmon operating at 1 T
- Effects of the electrostatic environment on the Majorana nanowire devices
- Tunability of microwave transitions as a signature of coherent parity mixing effects in the Majorana-Transmon qubit
- Parity transitions in the superconducting ground state of hybrid InSb-Al Coulomb islands
- Proposal for Coherent Coupling of Majorana Zero Modes and Superconducting Qubits Using the 4 pi-Josephson Effect
- Orbital contributions to the electron g-factor in semiconductor nanowires
- A ballistic graphene superconducting microwave circuit
- Anharmonicity of a Gatemon Qubit with a Few-Mode Josephson Junction
- Andreev spectrum and supercurrents in nanowire-based SNS junctions containing Majorana bound states
- Zero-energy pinning from interactions in Majorana nanowires
- Microwave signatures of Majorana states in a topological Josephson junction
- Conduction Channels of an InAs-Al nanowire Josephson weak link
- Magnetic-field instability of Majorana modes in multiband quantum wires
- Cavity quantum electrodynamics with mesoscopic topological superconductors
- Magnetically-driven colossal supercurrent enhancement in InAs nanowire Josephson junctions
- Mapping the Topological Phase Diagram of Multiband Semiconductors with Supercurrents
- Suppressed Charge Dispersion via Resonant Tunneling in a Single-Channel Transmon
- Observation of vanishing charge dispersion of a nearly-open superconducting island
- Approaching a topological phase transition in Majorana nanowires
- Voltage-Controlled Superconducting Quantum Bus
- Photon Assisted Tunneling of Zero Modes in a Majorana Wire
- Direct cavity detection of Majorana pairs
- Microwave spectroscopy of Josephson junctions in topological superconductors
- Controlled dephasing of Andreev states in superconducting quantum point-contacts
- Fermion parity measurement and control in Majorana circuit quantum electrodynamics
- Interaction-induced zero-energy pinning and quantum dot formation in Majorana nanowires
- Dynamic current susceptibility as a probe of Majorana bound states in nanowire-based Josephson junctions
- Detection and Manipulation of Majorana Fermions in Circuit QED
- Even-odd effect and Majorana states in full-shell nanowires
- Theory of microwave spectroscopy of Andreev bound states with a Josephson junction
- Four-Majorana qubit with charge readout: dynamics and decoherence
- Majorana oscillations and parity crossings in semiconductor-nanowire-based transmon qubits
- Spectral response of Josephson junctions with low-energy quasiparticles
- Durability of the superconducting gap in Majorana nanowires under orbital effects of a magnetic field
- Renormalization of the Majorana bound state decay length in a perpendicular magnetic field
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- Majorana nanowires for topological quantum computation
- Singlet-doublet transitions of a quantum dot Josephson junction detected in a transmon circuit
- A perspective on semiconductor-based superconducting qubits
- Destructive Little-Parks Effect in a Full-Shell Nanowire-based Transmon
- Minimal Kitaev-transmon qubit based on double quantum dots
- Recent progress on Majorana in semiconductor-superconductor heterostructures--Engineering and detection
- Majorana oscillations and parity crossings in semiconductor-nanowire-based transmon qubits
- Fusion rules in a Majorana single-charge transistor
- Quantum circuits with multiterminal Josephson-Andreev junctions
- Ground-State Cooling of a Mechanical Oscillator via a Hybrid Electro-Optomechanical System
- Majorana signatures in charge transport through a topological superconducting double-island system
- Anomalous periodicity and parafermion hybridization in superconducting qubits
- Subgap states in semiconductor-superconductor devices for quantum technologies: Andreev qubits and minimal Majorana chains
- Implementation of single-qubit gates via parametric modulation in the Majorana transmon
- Transport theory for topological Josephson junctions with a Majorana qubit
- Topological Josephson Bifurcation Amplifier: Semiclassical theory
- Physics of the Majorana-superconducting qubit hybrids
- SWAP gate between a Majorana qubit and a parity-protected superconducting qubit