Dynamical properties of a vibrating molecular quantum dot in a Josephson junction

TL;DR

This paper explores the complex interplay between mechanical vibrations and superconducting electron transport in a molecular quantum dot within a Josephson junction, revealing six distinct dynamical regimes and new associated time-scales.

Contribution

It identifies six regimes of tunneling dynamics in a vibrating molecular quantum dot, introducing new time-scales linked to electron transition energies.

Findings

Six regimes of tunneling dynamics identified

New time-scales associated with electron transitions

One regime with static quantum dot properties

Abstract

We investigate dynamical transport aspects of a combined nanomechanical-superconducting device in which Cooper pair tunneling interfere with the mechanical motion of a vibrating molecular quantum dot embedded in a Josephson junction. Six different regimes for the tunneling dynamics are identified with respect to the electron level and the charging energy in the quantum dot. In five of those regimes new time-scales are introduced which are associated with the energies of the single electron transitions within the quantum dot, while there is one regime where the internal properties of the quantum dot are static.