With artificially engineered systems, it is now possible to realize the coherent interaction rate, which can become comparable to the mode frequencies, a regime known as ultrastrong coupling (USC). We experimentally realize a cavity-electromechanical device using a superconducting waveguide cavity and a mechanical resonator. In the presence of a strong pump, the mechanical-polaritons splitting can nearly reach 81% of the mechanical frequency, overwhelming all the dissipation rates. Approaching the USC limit, the steady-state response becomes unstable. We systematically measure the boundary of the unstable response while varying the pump parameters. The unstable dynamics display rich phases, such as selfinduced oscillations, period-doubling bifurcation, and period-tripling oscillations, ultimately leading to the chaotic behavior. The experimental results and their theoretical modeling suggest the importance of residual nonlinear interaction terms in the weak-dissipative regime.

There is growing interest in developing integrated room temperature control electronics for the control and measurement of superconducting devices for quantum computing applications. With the availability of faster DACs, it has become possible to generate microwave signals with amplitude and phase controls directly without requiring any analog mixer. In this report, we use the evaluation kit ZCU111 to generate vector microwave pulses using the second-Nyquist zone technique. We characterize the performance of the signal generation and measure amplitude variation across second Nyquist zone, single-sideband phase noise, and spurious-free dynamic range. We further perform various time-domain measurements to characterize a superconducting transmon qubit and benchmark our results against traditionally used analog mixer setups.

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