Optimizing Passive Quantum Clocks

Abstract

We describe protocols for passive atomic clocks based on quantum interrogation of the atoms. Unlike previous techniques, our protocols are adaptive and take advantage of prior information about the clock's state. To reduce deviations from an ideal clock, each interrogation is optimized by means of a semidefinite program for atomic state preparation and measurement whose objective function depends on the prior information. Our knowledge of the clock's state is maintained according to a Bayesian model that accounts for noise and measurement results. We implement a full simulation of a running clock with power-law noise models and find significant improvements by applying our techniques.

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• Probing beyond the laser coherence time in optical clock comparisons
• On-Line Estimation of Local Oscillator Noise and Optimisation of Servo Parameters in Atomic Clocks
• The quantum Allan variance
• Analytically exploiting noise correlations inside the feedback loop to improve locked-oscillator performance
• Bayesian Frequency Metrology with Optimal Ramsey Interferometry in Optical Atomic Clocks