Superfluidity in Bose Hubbard circuits

In this talk I will present a semiclassical theory for the metastability regime diagram of atomtronic superfluid circuits Such circuits typically exhibit high dimensional chaos and nonlinear resonances that couple the Bogoliubov excitations manifest Contrary to the expectation these resonances do not originate from the familiar Beliaev and Landau damping terms Rather they are described by a variant of the Cherry Hamiltonian of celestial mechanics Consequently we study the induced decay process and its dependence on the number of sites and condensed particles