Strong effects of weak ac driving in short superconducting junctions

Abstract

We study a short multichannel superconducting junction subject to dc and ac phase biases. The ac modulation changes the occupation of the Andreev bound states formed at the constriction by transitions between bound states and the continuum. In a short junction, the nonequilibrium Andreev bound-state population may relax through processes that conserve parity of the occupation number on the same bound state and processes that do not conserve it. We argue that the parity-conserving processes occur on a much faster time scale. In this case, even a weak driving may lead to a large nonequilibrium quasiparticle population scaling with the number of channels and results in a large deviation of the supercurrent from its equilibrium value. We show that this effect is accompanied by a quasiparticle current which may lead to a measurable charge imbalance in the vicinity of the junction. Furthermore, we study the time evolution of the supercurrent after switching off the ac drive. On a time scale where parity relaxation is negligible, the supercurrent relaxes to a stationary nonequilibrium state. Finally, we briefly outline the regime of ultraweak driving where the ac-induced processes occur on a time scale comparable to that of parity relaxation.

Nonequilibrium Andreev bound states population in short superconducting junctions coupled to a resonator

“…A resistance R accounts for a finite damping on this resonator. ABS [77][78][79][80][81] and a short topological junction 82 .…”

Dynamical parity selection in superconducting weak links

“…We show that for the dynamical parity selection to occur, weak links of intermediate length (harboring at least two ABSs) are needed. While the case of short weak links (with a single ABS) is well understood [34][35][36][37][38], our theory describes the parity dynamics in superconducting weak links of arbitrary length. Focusing on the simplest nontrivial case with two ABSs, we arrive at an intuitive physical picture which identifies wide parameter regimes suitable for dynamical parity selection and thus for coherent qubit manipulation.…”