Microwave spectroscopy of interacting Andreev spins

Abstract

Andreev bound states are fermionic states localized in weak links between superconductors which can be occupied with spinful quasiparticles. Microwave experiments using superconducting circuits with InAs/Al nanowire Josephson junctions have recently enabled probing and coherent manipulation of Andreev states but have remained limited to zero or small fields. Here we use a flux-tunable superconducting circuit in external magnetic fields up to 1T to perform spectroscopy of spin-polarized Andreev states up to ~250 mT, beyond which the spectrum becomes gapless. We identify singlet and triplet states of two quasiparticles occupying different Andreev states through their dispersion in magnetic field. These states are split by exchange interaction and couple via spin-orbit coupling, analogously to two-electron states in quantum dots. We also show that the magnetic field allows to drive a direct spin-flip transition of a single quasiparticle trapped in the junction. Finally, we measure a gate- and field-dependent anomalous phase shift of the Andreev spectrum, of magnitude up to approximately $0.7\pi$. Our observations demonstrate new ways to manipulate Andreev states in a magnetic field and reveal spin-polarized triplet states that carry supercurrent.

References in corpus (80)

• Unpaired Majorana fermions in quantum wires
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Helical liquids and Majorana bound states in quantum wires
• Proximity effects in superconductor-ferromagnet heterostructures
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Kwant: a software package for quantum transport
• Majorana fermions in a tunable semiconductor device
• Superconducting Spintronics
• Exponential Protection of Zero Modes in Majorana Islands
• Josephson Current and Noise at a Superconductor-Quantum Spin Hall Insulator-Superconductor Junction
• Superconducting 2D system with lifted spin degeneracy: Mixed singlet-triplet state
• Semiconductor Spin Qubits
• Observation of spin-triplet superconductivity in Co-based Josephson Junctions
• Tunable Supercurrent Through Semiconductor Nanowires
• Hard gap in epitaxial semiconductor-superconductor nanowires
• Josephson ${\phi }_0$-junction in nanowire quantum dots
• High Kinetic Inductance Superconducting Nanowire Resonators for Circuit QED in a Magnetic Field
• Anomalous Josephson effect induced by spin-orbit interaction and Zeeman effect in semiconductor nanowires
• An analysis method for asymmetric resonator transmission applied to superconducting devices
• Tunable superconducting nanoinductors
• Coherent manipulation of Andreev states in superconducting atomic contacts
• Spin Accumulation in Quantum Wires with Strong Rashba Spin-Orbit Coupling
• Anomalous Josephson Current in Junctions with Spin-Polarizing Quantum Point Contacts
• Exciting Andreev pairs in a superconducting atomic contact
• Coherent manipulation of an Andreev spin qubit
• Andreev Level Qubit
• Anomalous Josephson current through a spin-orbit coupled quantum dot
• Spin-orbit splitting of Andreev states revealed by microwave spectroscopy
• Direct microwave measurement of Andreev-bound-state dynamics in a proximitized semiconducting nanowire
• Strong tuning of Rashba spin orbit interaction in single InAs nanowires
• Andreev quantum dots for spin manipulation
• Spin-Orbit induced phase-shift in Bi${}_2$Se${}_3$ Josephson junctions
• Theory of the spin-galvanic effect and the anomalous phase-shift ${\phi }_0$ in superconductors and Josephson junctions with intrinsic spin-orbit coupling
• A Josephson phase battery
• Gate Controlled Anomalous Phase Shift in Al/InAs Josephson Junctions
• Majorana End-States in Multi-band Microstructures with Rashba Spin-Orbit Coupling
• Andreev rectifier: a nonlocal conductance signature of topological phase transitions
• Observation of the 4$\pi$-periodic Josephson effect in indium arsenide nanowires
• Effects of gate-induced electric fields on semiconductor Majorana nanowires
• Singlet and triplet Cooper pair splitting in hybrid superconducting nanowires
• Microwave spectroscopy of spinful Andreev bound states in ballistic semiconductor Josephson junctions
• Magnetic field resilient superconducting coplanar waveguide resonators for hybrid cQED experiments
• Anomalous Josephson current, incipient time-reversal symmetry breaking, and Majorana bound states in interacting multi-level dots
• Superconducting Spin Qubits
• Electric field tunable superconductor-semiconductor coupling in Majorana nanowires
• Continuous monitoring of a trapped, superconducting spin
• Spin-Orbit Protection of Induced Superconductivity in Majorana Nanowires
• Spin-orbit induced chirality of Andreev states in Josephson junctions
• Spin Orbit coupling and Anomalous Josephson effect in Nanowires
• Singlet-doublet transitions of a quantum dot Josephson junction detected in a transmon circuit
• Signatures of topological Josephson junctions
• Supercurrent Spectroscopy of Andreev States
• Proximity-induced triplet superconductivity in Rashba materials
• Andreev spin qubits in multichannel Rashba nanowires
• Supercurrent interference in few-mode nanowire Josephson junctions
• Josephson Current through Semiconductor Nanowire with Spin-Orbit Interaction in Magnetic Field
• Bogoliubov Quasiparticles in Superconducting Qubits
• Microwave signatures of Majorana states in a topological Josephson junction
• Conduction Channels of an InAs-Al nanowire Josephson weak link
• Enhanced proximity effect in zigzag-shaped Majorana Josephson junctions
• Splitting of Andreev levels in a Josephson junction by spin-orbit coupling
• Signatures of interactions in the Andreev spectrum of nanowire Josephson junctions
• A gate-tunable, field-compatible fluxonium
• Circuit-QED with phase-biased Josephson weak links
• Effects of spin-orbit coupling and spatial symmetries on the Josephson current in SNS junctions
• Boosting spintronics with superconductivity
• From adiabatic to dispersive readout of quantum circuits
• Coexistence and tuning of spin-singlet and triplet transport in spin-filter Josephson junctions
• Zeeman and spin-orbit effects in the Andreev spectra of nanowire junctions
• Tunable pure spin supercurrents and the demonstration of a superconducting spin-wave device
• Magnetic-Field-Compatible Superconducting Transmon Qubit
• Detecting induced $p\pm ip$ pairing at the Al-InAs interface with a quantum microwave circuit
• Dynamical polarization of the fermion parity in a nanowire Josephson junction
• Gate-tunable kinetic inductance in proximitized nanowires
• Spin-blockade qubit in a superconducting junction
• Vortex nucleation barrier in superconductors beyond the Bean-Livingston approximation: A numerical approach for the sphaleron problem in a gauge theory
• Zero field splitting of heavy-hole states in quantum dots
• Energy spectrum and current-phase relation of a nanowire Josephson junction close to the topological transition
• Semiclassical quantization of spinning quasiparticles in ballistic Josephson junctions

Cited by in corpus (19)

• Strong tunable coupling between two distant superconducting spin qubits
• Blueprint for all-to-all connected superconducting spin qubits
• Strong nonlocal tuning of the current-phase relation of a quantum dot based Andreev molecule
• Direct microwave spectroscopy of Andreev bound states in planar Ge Josephson junctions
• Green's Function Approach to Josephson Dot Dynamics and Application to Quantum Mpemba Effects
• Ground state phase diagram and "parity flipping'' microwave transitions in a gate-tunable Josephson Junction
• Microwave Signatures of Topological Superconductivity in Planar Josephson Junctions
• Entangling distant systems via universal nonadiabatic passage
• Opportunities for the direct manipulation of a phase-driven Andreev spin qubit
• Quartet Tomography in Multiterminal Josephson Junctions
• Current Flow in Topological Insulator Josephson Junctions due to Imperfections
• Andreev spin relaxation time in a shadow-evaporated InAs weak link
• Many-body quantum dynamics of spin-orbit coupled Andreev states in a Zeeman field
• Microwave Andreev bound state spectroscopy in a semiconductor-based Planar Josephson junction
• Approaching the ultrastrong coupling regime between an Andreev level and a microwave resonator
• Supercurrent from the imaginary part of the Andreev levels in non-Hermitian Josephson junctions
• Error threshold in active steering protocols for few-qubit systems
• Finite Length Effects and Coulomb Interaction in Ge Quantum Well-Based Josephson Junctions Probed with Microwave Spectroscopy
• Effects of electron-electron interaction and spin-orbit coupling on Andreev pair qubits in quantum dot Josephson junctions