Methods and apparatus for magnetically compensated chip scale atomic clock

An apparatus, comprising:

• a physics cell including:
• an atomic chamber containing an atomic gas;
• a laser source having a laser control input, the laser source configured to generate light responsive to a laser control signal at the laser control input;
• a modulator having a modulator control input, the modulator configured to modulate the light responsive to a modulator control signal at the modulator control input and to emit the modulated light towards the atomic chamber;
• a photodetector having a photodetector output, the photodetector configured to receive light emissions from the atomic chamber and to generate photodetector signals at the photodetector output responsive to the received light;
• and
• a field coil around the atomic chamber, the field coil having a coil control input, the field coil configured to generate a magnetic field in the atomic chamber by conducting a current in the field coil responsive to a coil control signal at the coil control input;
• and
• an electronic circuit including:
• a frequency synthesizer having a frequency output coupled to the laser control input, the frequency synthesizer including a voltage controlled oscillator having an oscillator control input and an oscillator output, the voltage controlled oscillator configured to generate an oscillator signal at the oscillator output responsive to an oscillator control signal at the oscillator control input, and the frequency synthesizer configured to generate a frequency signal at the frequency output responsive to the oscillator signal at the oscillator output;
• a controller having a control input coupled to the photodetector output and having control outputs, the controller configured to:
• detect first and second resonant frequencies in the photodetector signals;
• generate analog signals at the control outputs responsive to the photodetector signals;
• determine and record a difference between the first and second resonant frequencies;
• determine a change in the difference;
• and adjust the analog signals at the control outputs responsive to the change;
• and
• a digital to analog converter having digital inputs and first, second and third analog outputs, the digital inputs coupled to the control outputs, the first analog output coupled to the modulator control input, the second analog output coupled to the coil control input, the third analog output coupled to the oscillator control input, and the digital to analog converter configured to adjust the coil control signal responsive to the adjusted analog signals.