Opportunities for the direct manipulation of a phase-driven Andreev spin qubit

Abstract

In a Josephson junction, the transfer of Cooper pairs from one superconductor to the other one can be associated with the formation of Andreev bound states. In a Josephson junction made with a semiconducting nanowire, the spin degeneracy of these Andreev states can be broken thanks to the presence of spin-orbit coupling and a finite phase difference between the two superconducting electrodes. The lifting of the spin degeneracy opened the way to the realization of Andreev spin qubits that do not require the application of a large magnetic field. So far the operation of these qubits relied on a Raman process involving two microwave tones and a third Andreev state [M. Hays et al., Science 373, 430 (2021)]. Still, time-reversal preserving impurities in the nanowire allow for spin-flip scattering processes. Here, using the formalism of scattering matrices, we show that these processes generically couple Andreev states with opposite spins. In particular, the non-vanishing current matrix element between them allows for the direct manipulation of phase-driven Andreev spin qubits, thereby circumventing the use of the above-mentioned Raman process.

17 pages, 11 figures

References in corpus (13)

• Coherent manipulation of an Andreev spin qubit
• Direct manipulation of a superconducting spin qubit strongly coupled to a transmon qubit
• Spin-orbit induced chirality of Andreev states in Josephson junctions
• Andreev spin qubits in multichannel Rashba nanowires
• Splitting of Andreev levels in a Josephson junction by spin-orbit coupling
• Magnetic field induced localization in 2D topological insulators
• 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
• From adiabatic to dispersive readout of quantum circuits
• AC conductance and non-symmetrized noise at finite frequency in quantum wires and carbon nanotubes
• Microwave spectroscopy of interacting Andreev spins
• Spin Coherent Manipulation in Josephson Weak Links

Cited by in corpus (5)

• Blueprint for all-to-all connected superconducting spin qubits
• Green's Function Approach to Josephson Dot Dynamics and Application to Quantum Mpemba Effects
• Current Flow in Topological Insulator Josephson Junctions due to Imperfections
• Many-body quantum dynamics of spin-orbit coupled Andreev states in a Zeeman field
• Effects of electron-electron interaction and spin-orbit coupling on Andreev pair qubits in quantum dot Josephson junctions