Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2010-12-23
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
9 pages
Scientific paper
In this work we derive a general formula for the charge pumped in a superconducting nanocircuit. Our expression generalizes previous results in several ways, it is applicable both in the adiabatic and in the non-adiabatic regimes and it takes into account also the effect of an external environment. More specifically, by applying Floquet theory to Cooper pair pumping, we show that under a cyclic evolution the total charge transferred through the circuit is proportional to the derivative of the associated Floquet quasi-energy with respect to the superconducting phase difference. In the presence of an external environment the expression for the transferred charge acquires a transparent form in the Floquet representation. It is given by the weighted sum of the charge transferred in each Floquet state, the weights being the diagonal components of the stationary density matrix of the system expressed in the Floquet basis. In order to test the power of this formulation we apply it to the study of pumping in a Cooper pair sluice. We reproduce the known results in the adiabatic regime and we show new data in the non-adiabatic case.
Brosco Valentina
Fazio Rosario
Pugnetti Stefano
Russomanno Angelo
No associations
LandOfFree
Floquet theory of Cooper pair pumping does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Floquet theory of Cooper pair pumping, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Floquet theory of Cooper pair pumping will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-296622