  Many experiments operating at millikelvin temperatures with signal
frequencies in the microwave regime are beginning to incorporate Josephson
Parametric Amplifiers (JPA) as their first amplification stage. While there are
implementations for a wideband frequency response with a minimal need for
tuning, designs using resonant structures with small numbers of Josephson
elements still achieve the best noise performance. In a typical measurement
scheme involving a JPA, one needs to control the resonance frequency, pump
frequency and pump power to achieve the desired amplification and noise
properties. In this work, we propose a straightforward approach for operating
JPAs with the help of a look-up table (LUT) and online fine-tuning. Using the
proposed approach, we demonstrate the operation of a flux-driven JPA with 20 dB
gain around 5.9 GHz, covering approximately 100 MHz with 20 kHz tuning steps.
The proposed methodology was successfully used in the context of a haloscope
axion experiment.
