2003/03/31 by M. Aunola, J. J. Toppari, J. Jussi Toppari
Physics and Astronomy · #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Quantum, superfluid, helium dynamics #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevb.68.020502
published as Phys. Rev. B 68 020502(R) (2003) · 5 pages, 5 figures, RevTeX, Presentation has been clarified
arxiv created 2003/04/30 · openalex publication_date 2003/07/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The properties of the tunneling-charging Hamiltonian of a Cooper pair pump are well understood in the regime of weak and intermediate Josephson couplings, i.e., when EJ\ensuremath\lesssimEC. It is also known that Berry's phase is related to the pumped charge induced by the adiabatical variation of the eigenstates. We show explicitly that pumped charge in Cooper pair pump can be understood as a partial derivative of Berry's phase with respect to the phase difference \ensuremathφ across the array. The phase fluctuations always present in real experiments can also be taken into account, although only approximately. Thus, the measurement of the pumped current gives reliable, yet indirect, information on Berry's phase. As closing remarks, we give the differential relation between Berry's phase and the pumped charge, and state that the mathematical results are valid for any observable expressible as a partial derivative of the Hamiltonian.