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RESEARCH PRODUCT

Tunneling-charging Hamiltonian of a Cooper-pair pump

M. Aunola

subject

Physicssymbols.namesakeQuantum mechanicsLinear algebrasymbolsObservableCooper pairAdiabatic processHamiltonian (quantum mechanics)Fourier seriesEigenvalues and eigenvectorsQuantum tunnelling

description

General properties of the tunneling-charging Hamiltonian of a Cooper pair pump are examined with emphasis on the symmetries of the model. An efficient block-diagonalization scheme and a compatible Fourier expansion of the eigenstates is constructed and applied in order to gather information on important observables. Systematics of the adiabatic pumping with respect to all of the model parameters are obtained and the link to the geometrical Berry's phase is identified.

https://doi.org/10.1103/physrevb.63.132508