Frequency-dependent admittance of a short superconducting weak link

Abstract

We consider the linear and non-linear electromagnetic responses of a nanowire connecting two bulk superconductors. Andreev states appearing at a finite phase bias substantially affect the finite-frequency admittance of such a wire junction. Electron transitions involving Andreev levels are easily saturated, leading to the nonlinear effects in photon absorption for the sub-gap photon energies. We evaluate the complex admittance analytically at arbitrary frequency and arbitrary, possibly non-equilibrium, occupation of Andreev levels. Special care is given to the limits of a single-channel contact and a disordered metallic weak link. We also evaluate the quasi-static fluctuations of admittance induced by fluctuations of the occupation factors of Andreev levels. In view of possible qubit applications, we compare properties of a weak link with those of a tunnel Josephson junction. Compared to the latter, a weak link has smaller low-frequency dissipation. However, because of the deeper Andreev levels, the low-temperature quasi-static fluctuations of the inductance of a weak link are exponentially larger than of a tunnel junction. These fluctuations limit the applicability of nanowire junctions in superconducting qubits.

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Cited by in corpus (50)

• From Andreev to Majorana bound states in hybrid superconductor-semiconductor nanowires
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• Tunneling processes into localized subgap states in superconductors
• Microwave spectroscopy of spinful Andreev bound states in ballistic semiconductor Josephson junctions
• Low-energy theory of transport in Majorana wire junctions
• Signatures of topological Josephson junctions
• Reduction of Dissipative Nonlinear Conductivity of Superconductors by Static and Microwave Magnetic Fields
• Supercurrent Spectroscopy of Andreev States
• Andreev spin qubits in multichannel Rashba nanowires
• Dynamics of quasiparticle trapping in Andreev levels
• Microwave signatures of Majorana states in a topological Josephson junction
• Circuit-QED with phase-biased Josephson weak links
• Microwave response of an Andreev bound state
• Efficient quasiparticle traps with low dissipation through gap engineering
• Zeeman and spin-orbit effects in the Andreev spectra of nanowire junctions
• Phase-dependent microwave response of a graphene Josephson junction
• Quasiparticle trapping, Andreev level population dynamics, and charge imbalance in superconducting weak links
• Theory of microwave spectroscopy of Andreev bound states with a Josephson junction
• Phase dependent Andreev spectrum in a difusive SNS junction. Static and dynamic current response
• Josephson effect in topological superconducting rings coupled to a microwave cavity
• Anomalous Josephson current through a driven double quantum dot
• Josephson photodetectors via temperature-to-phase conversion
• Dynamical parity selection in superconducting weak links
• Inductive microwave response of Yu-Shiba-Rusinov states
• Broadband microwave spectroscopy of semiconductor nanowire-based Cooper-pair transistors
• Nonreciprocal Josephson linear response
• Tunability of Andreev levels via spin-orbit coupling in Zeeman-split Josephson junctions
• Microwave Admittance of Gold-Palladium Nanowires with Proximity-Induced Superconductivity
• Landauer Formula for a Superconducting Quantum Point Contact
• Effective action theory of Andreev level spectroscopy
• Control of Andreev bound state population and related charge-imbalance effect
• Nonequilibrium Andreev bound states population in short superconducting junctions coupled to a resonator
• Microwave Signatures of Topological Superconductivity in Planar Josephson Junctions
• Many-body quantum dynamics of spin-orbit coupled Andreev states in a Zeeman field
• Thermal transport through ac-driven transparent Josephson weak links
• Strong effects of weak ac driving in short superconducting junctions
• Quantum-critical dynamics of a Josephson junction at the topological transition
• Superconducting atomic contacts inductively coupled to a microwave resonator
• Current-phase relation of a short multi-mode Bi2Se3 topological insulator nanoribbon Josephson junction with ballistic transport modes
• Static and dynamic properties of Josephson weak links with singlet and triplet coupling
• Effects of the measurement power on states discrimination and dynamics in a circuit-QED experiment
• Intrinsic dissipation in superconducting junctions probed by qubit spectroscopy
• ac properties of short Josephson weak links
• Unified scattering approach to Josephson current and thermal noise in BCS and topological superconducting junctions
• Interplay between evanescent scattering modes and finite dispersion in superconducting junctions
• Persistent current noise in narrow Josephson junctions
• Slave-spin approach to the Anderson-Josephson quantum dot
• Andreev molecules at distance
• Microwave control of the superconducting proximity effect and minigap in magnetic and normal metals
• Microwave susceptibility observation of interacting many-body Andreev states