Differentiating Majorana from Andreev Bound States in a Superconducting Circuit

Abstract

We investigate the low-energy theory of a one-dimensional finite capacitance topological Josephson junction. Charge fluctuations across the junction couple to resonant microwave fields and can be used to probe microscopic excitations such as Majorana and Andreev bound states. This marriage between localized microscopic degrees of freedom and macroscopic dynamics of the superconducting phase, leads to unique spectroscopic patterns which allow us to reveal the presence of Majorana fermions among the low-lying excitations.

arXiv comment9 pages, 3 figures

References in corpus (48)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Unpaired Majorana fermions in quantum wires
• Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
• 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
• Non-Abelian statistics and topological quantum information processing in 1D wire networks
• Coupling Superconducting Qubits via a Cavity Bus
• Model Hamiltonian for Topological Insulators
• Resolving photon number states in a superconducting circuit
• Decoherence in Josephson Qubits from Dielectric Loss
• Fluxonium: single Cooper pair circuit free of charge offsets
• Suppressing Charge Noise Decoherence in Superconducting Charge Qubits
• Manipulation of Majorana fermion, Andreev reflection and Josephson current on topological insulators
• Tunable Supercurrent Through Semiconductor Nanowires
• A Semiconductor Nanowire-Based Superconducting Qubit
• Hard gap in epitaxial semiconductor-superconductor nanowires
• Hybrid quantum circuit with a superconducting qubit coupled to a spin ensemble
• Unconventional Josephson Effect in Hybrid Superconductor-Topological Insulator Devices
• Revealing the electronic structure of a carbon nanotube carrying a supercurrent
• Topological Insulator Nanowires and Nanoribbons
• Cavity-QED based on collective magnetic dipole coupling: spin ensembles as hybrid two-level systems
• Hybrid circuit cavity quantum electrodynamics with a micromechanical resonator
• Majorana Fermions in Proximity-coupled Topological Insulator Nanowires
• Josephson Current and Multiple Andreev Reflections in Graphene SNS Junctions
• Realization of microwave quantum circuits using hybrid superconducting-semiconducting nanowire Josephson elements
• Quantum coherent control of a hybrid superconducting circuit made with graphene-based van der Waals heterostructures
• Ultra-thin Topological Insulator Bi2Se3 Nanoribbons Exfoliated by Atomic Force Microscopy
• Top-transmon: hybrid superconducting qubit for parity-protected quantum computation
• Microwave spectroscopy of spinful Andreev bound states in ballistic semiconductor Josephson junctions
• Symmetry Protected Josephson Supercurrents in Three-Dimensional Topological Insulators
• Stability of Majorana Fermions in Proximity-Coupled Topological Insulator Nanowires
• Evolution of Nanowire Transmons and Their Quantum Coherence in Magnetic Field
• Helical Luttinger liquid in topological insulator nanowires
• A graphene transmon operating at 1 T
• Tunability of microwave transitions as a signature of coherent parity mixing effects in the Majorana-Transmon qubit
• Influence of Topological Edge States on the Properties of Al/Bi2Se3/Al Hybrid Josephson Devices
• Majorana qubits in topological insulator nanoribbon architecture
• Anomalous Supercurrent from Majorana States in Topological Insulator Josephson Junctions
• Anharmonicity of a Gatemon Qubit with a Few-Mode Josephson Junction
• Andreev bound states and current-phase relations in three-dimensional topological insulators
• Direct cavity detection of Majorana pairs
• Fermion parity measurement and control in Majorana circuit quantum electrodynamics
• Time scales for Majorana manipulation using Coulomb blockade in gate-controlled superconducting nanowires
• Coulomb blockade in superconducting quantum point contacts
• Detecting Perfect Transmission in Josephson Junctions on the Surface of Three Dimensional Topological Insulators
• Four-Majorana qubit with charge readout: dynamics and decoherence
• Coulomb blockade of a nearly-open Majorana island

Cited by in corpus (21)

• Supercurrent detection of topologically trivial zero-energy states in nanowire junctions
• Majorana nanowires for topological quantum computation
• Weak measurement protocols for Majorana bound state identification
• Distinguishing trivial and topological zero energy states in long nanowire junctions
• A gate-tunable, field-compatible fluxonium
• Dephasing and leakage dynamics of noisy Majorana-based qubits: Topological versus Andreev
• Majorana oscillations and parity crossings in semiconductor-nanowire-based transmon qubits
• Absence of supercurrent sign reversal in a topological junction with a quantum dot
• Non-Abelian Anyons and Non-Abelian Vortices in Topological Superconductors
• Non-Hermiticity stabilized Majorana zero modes in semiconductor-superconductor nanowires
• Anomalous periodicity and parafermion hybridization in superconducting qubits
• Full counting statistics in a Majorana single-charge transistor
• Implementation of single-qubit gates via parametric modulation in the Majorana transmon
• Detection of Majorana zero modes bound to Josephson vortices in planar superconductor-topological insulator-superconductor junctions
• Enhanced $2\pi$-periodic Aharonov-Bohm Effect as a Signature of Majorana Zero Modes Probed by Nonlocal Measurements
• Topological zero modes and bounded modes at smooth domain walls: Exact solutions and dualities
• Quantifying the non-Abelian property of Andreev bound states in inhomogeneous Majorana nanowires
• Integration of topological insulator Josephson junctions in superconducting qubit circuits
• Confinement-induced zero-bias peaks in conventional superconductor hybrids
• Electromagnetic response of the surface states of a topological insulator nanowire embedded within a resonator
• Zero energy modes with Gaussian, exponential, or polynomial decay: Exact solutions in hermitian and nonhermitian regimes