Nonreciprocal Josephson linear response

Abstract

We consider the finite-frequency response of multiterminal Josephson junctions and show how non-reciprocity in them can show up at linear response, in contrast to the static Josephson diodes featuring non-linear non-reciprocity. At finite frequencies, the response contains dynamic contributions to the Josephson admittance, featuring the effects of Andreev bound state transitions along with Berry phase effects, and reflecting the breaking of the same symmetries as in Josephson diodes. We show that outside exact Andreev resonances, the junctions feature non-reciprocal reactive response. As a result, the microwave transmission through those systems is non-dissipative, and the electromagnetic scattering can approach complete non-reciprocity. Besides providing information about the nature of the weak link energy levels, the non-reciprocity can be utilized to create non-dissipative and small-scale on-chip circulators whose operation requires only rather small magnetic fields.

15 pages, 8 figures

References in corpus (5)

• Direct coupling between magnetism and superconducting current in Josephson Phi junction
• Mechanical On-Chip Microwave Circulator
• Theory of microwave-assisted supercurrent in quantum point contacts
• Topological properties of multi-terminal superconducting nanostructures: effect of a continuous spectrum
• Quasiparticle trapping, Andreev level population dynamics, and charge imbalance in superconducting weak links

Cited by in corpus (7)

• Link between supercurrent diode and anomalous Josephson effect revealed by gate-controlled interferometry
• Flux-Tunable Josephson Diode Effect in a Hybrid Four-Terminal Josephson Junction
• Dissipationless Nonlinearity in Quantum Material Josephson Diodes
• Nonreciprocal Quantum Sensing
• Spontaneous supercurrents and vortex depinning in two-dimensional arrays of ${\phi }_0$-junctions
• Enhanced Superconducting Diode Effect in the Asymmetric Hatsugai-Kohmoto Model
• Microwave Circulation in an Extended Josephson Junction Ring