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.

14 pages, 6 figures, 3 appendices

References in corpus (13)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Majorana qubit decoherence by quasiparticle poisoning
• Anomalous Josephson effect induced by spin-orbit interaction and Zeeman effect in semiconductor nanowires
• Phase controlled superconducting proximity effect probed by tunneling spectroscopy
• Spin-orbit induced chirality of Andreev states in Josephson junctions
• Supercurrent interference in few-mode nanowire Josephson junctions
• Conduction Channels of an InAs-Al nanowire Josephson weak link
• Splitting of Andreev levels in a Josephson junction by spin-orbit coupling
• Quasiparticle trapping, Andreev level population dynamics, and charge imbalance in superconducting weak links
• Nonequilibrium Andreev bound states population in short superconducting junctions coupled to a resonator

Cited by in corpus (4)

• A perspective on semiconductor-based superconducting qubits
• From adiabatic to dispersive readout of quantum circuits
• Quench dynamics in superconducting nanojunctions: metastability and dynamical Yang-Lee zeros
• Inductive microwave response of Yu-Shiba-Rusinov states