Quantum theory of shuttling instability in a movable quantum dot array

摘要

We study the shuttling instability in an array of three quantum dots thecentral one of which is movable. We extend the results by Armour and MacKinnonon this problem to a broader parameter regime. The results obtained by anefficient numerical method are interpreted directly using the Wignerdistributions. We emphasize that the instability should be viewed as acrossover phenomenon rather than a clear-cut transition.