Parametric Energy Transfer Between Microwave Resonators

The project is motivated by an experiment on superconducting resonators with voltage-controlled frequency and nonlinearity. Devices utilizing this technology allow for dynamic tunability in superconducting quantum circuits. By improving the energy transfer between these resonators, the efficiency of the circuits can increase. In this work, the exchange of energy was studied in a simulation of two parametrically driven oscillators described in terms of the experimental circuit's parameters. An improved transfer of energy was achieved through the adjustment of various circuit parameters and the introduction of a modification to the driving frequency. The optimal modification was chosen for various resonators' frequencies, coupling strengths, and amplitudes of parametric modulation. These results are predicted to improve the efficiency of the device used in the experiment with superconducting resonators.