Andreev spin qubits in multichannel Rashba nanowires

Abstract

We theoretically analyze the Andreev bound states and their coupling to external radiation in superconductor-nanowire-superconductor Josephson junctions. We provide an effective Hamiltonian for the junction projected onto the Andreev level subspace and incorporating the effects of nanowire multichannel structure, Rashba spin-orbit coupling, and Zeeman field. Based on this effective model, we investigate the dependence of the Andreev levels and the matrix elements of the current operator on system parameters such as chemical potential, nanowire dimensions, and normal transmission. We show that the combined effect of the multichannel structure and the spin-orbit coupling gives rise to finite current matrix elements between odd states having different spin polarizations. Moreover, our analytical results allow to determine the appropriate parameters range for the detection of transitions between even as well as odd states in circuit QED like experiments, which may provide a way for the Andreev spin qubit manipulation.

arXiv comment14 pages, 6 figures, 3 appendices

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• Tunable superconducting coupling of quantum dots via Andreev bound states in semiconductor-superconductor nanowires
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• A perspective on semiconductor-based superconducting qubits
• Signatures of interactions in the Andreev spectrum of nanowire Josephson junctions
• Circuit-QED with phase-biased Josephson weak links
• Spectroscopy of spin-split Andreev levels in a quantum dot with superconducting leads
• Superconducting diode effect in quasi-one-dimensional systems
• From adiabatic to dispersive readout of quantum circuits
• Yu-Shiba-Rusinov qubit
• Quench dynamics in superconducting nanojunctions: metastability and dynamical Yang-Lee zeros
• Boundary Green's function approach for spinful single-channel and multichannel Majorana nanowires
• Dynamical polarization of the fermion parity in a nanowire Josephson junction
• Large spatial extension of the zero-energy Yu-Shiba-Rusinov state in magnetic field
• Microwave spectroscopy of interacting Andreev spins
• Coupled superconducting spin qubits with spin-orbit interaction
• Microwave spectroscopy of Andreev states in InAs nanowire-based hybrid junctions using a flip-chip layout
• Blueprint for all-to-all connected superconducting spin qubits
• Josephson diode effect in a ballistic single-channel nanowire
• Spin Coherent Manipulation in Josephson Weak Links
• Quantum circuits with multiterminal Josephson-Andreev junctions
• Dynamical parity selection in superconducting weak links
• Inductive microwave response of Yu-Shiba-Rusinov states
• Direct microwave spectroscopy of Andreev bound states in planar Ge Josephson junctions
• Spin-degeneracy breaking and parity transitions in three-terminal Josephson junctions
• Green's Function Approach to Josephson Dot Dynamics and Application to Quantum Mpemba Effects
• Microscopic analysis of proximity-induced superconductivity and metallization effects in superconductor-germanium hole nanowires
• Impurity Knight shift in quantum dot Josephson junctions
• Hard-gap spectroscopy in a self-defined mesoscopic InAs/Al nanowire Josephson junction
• Nonlinearity of transparent SNS weak links decreases sharply with length
• Opportunities for the direct manipulation of a phase-driven Andreev spin qubit
• 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
• A particle conserving approach to AC-DC driven interacting quantum dots with superconducting leads
• Microwave Andreev bound state spectroscopy in a semiconductor-based Planar Josephson junction
• Spin-resolved nonlocal transport in proximitized Rashba nanowires
• Approaching the ultrastrong coupling regime between an Andreev level and a microwave resonator
• Fermionic Quantum Simulation on Andreev Bound State Superlattices
• Error threshold in active steering protocols for few-qubit systems
• Andreev spin qubit protected by Franck-Condon blockade
• Finite Length Effects and Coulomb Interaction in Ge Quantum Well-Based Josephson Junctions Probed with Microwave Spectroscopy
• Microwave susceptibility observation of interacting many-body Andreev states
• Effects of electron-electron interaction and spin-orbit coupling on Andreev pair qubits in quantum dot Josephson junctions
• Kramers-protected hardware-efficient error correction with Andreev spin qubits
• Quantum capacitance and parity switching of a quantum-dot-based Kitaev chain