Tunneling-charging Hamiltonian of a Cooper-pair pump - art. no. 132508

General properties of the tunneling-charging Hamiltonian of a Cooper pair p ump are examined with emphasis on the symmetries of the model. An efficient block-diagonalization scheme and a compatible Fourier expansion of the eig enstates is constructed and applied in order to gather information on impor tant 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.