An electrical waveform used to drive the resonator at twice its natural frequency.An electrical signal is a time-varying voltage or current that carries information or energy. In the context of physics experiments, it is often used to drive or probe physical systems. The seed definition specifies a particular use: an electrical waveform tuned to twice the natural frequency of a resonator, a technique known as parametric pumping or degenerate parametric excitation.
Parametric excitation was studied in the 19th century by Michael Faraday and later formalized by Lord Rayleigh, but the specific use of electrical signals to drive resonators at twice their natural frequency became prominent with the development of radio and microwave engineering in the early 20th century.
When a resonator is driven at twice its natural frequency, the oscillation amplitude can grow exponentially if the drive exceeds a threshold. This happens because the drive modulates a system parameter (like stiffness or capacitance) at a rate that feeds energy into the fundamental mode, analogous to swinging on a swing by pumping at twice the swing's frequency. The electrical signal provides this periodic modulation, and the resonator responds by oscillating at its own natural frequency, with the amplitude controlled by the drive strength and damping.
This technique is used in parametric amplifiers, which are essential for detecting extremely weak signals in quantum computing and radio astronomy, as well as in micro-electromechanical systems (MEMS) for sensing and filtering.
Parametric amplifiers can amplify signals without adding significant noise, which is why they are used to read out the faint microwave signals from superconducting qubits.





