Electrodynamic behaviour of a two-junction quantum interferometer enclosing a superconducting nanocylinder

The electrodynamic response of a two-junction symmetric quantum interferometer, containing two equal 0-junctions and enclosing a superconducting nanocylinder, is studied by means of a first order perturbation analysis of the dynamical equations obtained for the composite system in the absence of noise. It is shown that, when an appropriate number of fluxons is trapped in the inner superconducting cylinder, the system behaves like a π-SQUID.