Optimization of laser dynamics for active stabilization of DF--VECSELs dedicated to cesium CPT clocks
Gr\'egory Gredat, Hui Liu, J\'er\'emie Cotxet, Fran\c{c}ois, Tricot, Fran\c{c}ois Gutty, Fabienne Goldfarb, Isabelle Sagnes and, Fabien Bretenaker

TL;DR
This paper presents a dual servo-loop stabilization method for a DF-VECSEL used in cesium CPT clocks, achieving low phase noise and promising frequency stability for compact atomic clock applications.
Contribution
It introduces an active stabilization strategy with an analytical model for optimizing noise reduction in DF-VECSELs for atomic clocks.
Findings
Phase noise below -103 dBc/Hz at 100 Hz offset
Predicted clock stability with Allan deviation below 5×10^{-13} at 1 second
Optimal in-phase correlated pumping improves intensity noise performance
Abstract
We report the implementation and performance of a double servo-loop for intensity and phase-difference active stabilization of a dual-frequency vertical external--cavity surface-emitting laser (DF-VECSEL) for coherent population trapping (CPT) of cesium atoms in the framework of compact atomic clocks. In--phase fully correlated pumping of the two laser modes is identified as the best scheme for intensity noise reduction, and an analytical model allows the optimization of the active stabilization strategy. Optical phase-locking the beat-note to a local oscillator leads to a phase noise level below -103~dBc/Hz at 100~Hz from the carrier. The laser contribution to the short-term frequency stability of the clock is predicted to be compatible with a targeted Allan deviation below over one second.
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