Adiabatic Cooper-Pair Pumping in a Linear Array of Cooper Pair Boxes

TL;DR

This paper theoretically investigates adiabatic Cooper pair pumping in a linear array of Cooper pair boxes, using Berry phase and bosonization techniques to analyze a stabilized charge pumping scheme driven by synchronized flux and voltage fields.

Contribution

It introduces a detailed theoretical analysis of a feasible charge pumping scheme in a linear array of Cooper pair boxes using advanced analytical methods.

Findings

Successful theoretical modeling of Cooper pair pumping mechanism.

Identification of the critical ground state in flux-voltage space.

Analytical demonstration of charge transfer via Berry phase and sine-Gordon model.

Abstract

We present a study of adiabatic Cooper pair pumping in one dimensional array of Cooper pair boxes. We do a detailed theoretical analysis of an experimentally realizable stabilized charge pumping scheme in a linear array of Cooper pair boxes. Our system is subjected to synchronized flux and voltage fields and travel along a loop which encloses their critical ground state of the system in the flux-voltage plane. The locking potential in the sine-Gordon model slides and changes its minimum which yields the Cooper pair pumping. Our analytical methods are the Berry phase analysis and Abelian bosonization studies.