Nonlinear LC Circuit with Josephson Junction

Abstract

This paper illustrates a unified approach, classical circuit and control theories, to study a nonlinear LC circuit with a current dependent inductance as model of the Josephson junction, the mathematical analysis is complemented with simulations to visualize different dynamics under changes in parameters and inputs. Currently, in quantum computing, superconducting circuits with Josephson junctions are used as the building blocks of quantum bits or qubits.