Chaotic oscillations in Josephson tetrode

We numerically demonstrate the generation of chaos in a four-terminal superconductive device made of five Josephson weak-link junctions, which is referred to as "Josephson tetrode," for the applications of ultrafast random signal generations at frequencies of hundreds of gigahertz. In the Josephson tetrode, two junctions are series-connected and three junctions are parallel-connected. We calculate the dynamics of electrical voltages across the junctions when one of the normal resistances is varied. We confirm the generation of chaos by using a bifurcation diagram, three-dimensional attractors, and the Poincare sections. The bifurcation diagram can be interpreted as the quasi-periodicity-breakdown scenario to chaos. We clarify that the mechanism of the generation of chaos is a nonlinear frequency mixing among three independent voltages across the junctions. The condition of the generation of chaos can be predicted from the values of the coefficients in the equations of our model.