Nonadiabatic Josephson current pumping by microwave irradiation

Abstract

Irradiating a Josephson junction with microwaves can operate not only on the amplitude but also on the phase of the Josephson current. This requires breaking time inversion symmetry, which is achieved by introducing a phase lapse between the microwave components acting on the two† sides of the junction. General symmetry arguments and the solution of a specific single level quantum dot model show that this induces chirality in the Cooper pair dynamics, due to the topology of the Andreev bound state wavefunction. Another essential condition is to break electron-hole symmetry within the junction. A shift of the current-phase relation is obtained, which is controllable in sign and amplitude with the microwave phase and an electrostatic gate, thus producing a "chiral" Josephson transistor. The dot model is solved in the infinite gap limit by Floquet theory and in the general case with Keldysh nonequilibrium Green's functions. The chiral current is nonadiabatic: it is extremal and changes sign close to resonant chiral transitions between the Andreev bound states.

13 pages, 7 figures, extended version

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• Anomalous Josephson current through a driven double quantum dot
• A quantum interferometer for quartets in superconducting three-terminal Josephson junctions
• Ultralong-distance quantum correlations in three-terminal Josephson junctions
• Proposal for detecting the $\pi -$shifted Cooper quartet supercurrent
• Quasiparticles of periodically driven quantum dot coupled between superconducting and normal leads
• Phase-dependent dissipation and supercurrent of a graphene-superconductor ring under microwave irradiation
• Microwave-induced conductance replicas in hybrid Josephson junctions without Floquet-Andreev states
• Magnetointerferometry of multiterminal Josephson junctions
• Solving the Transient Dyson Equation with Quasilinear Complexity via Matrix Compression
• Multiterminal ballistic Josephson junctions coupled to normal leads