Non-linear Spectroscopy of Sr Atoms in an Optical Cavity for Laser Stabilization
Bjarke T. R. Christensen (1), Martin R. Henriksen (1), Stefan A., Sch\"affer (1), Philip G. Westergaard (2), Jun Ye (3), Murray Holland (3),, Jan W. Thomsen (1) ((1) Niels Bohr Insitute, University of Copenhagen,, Denmark, (2) Danish Fundamental Metrology, Kgs. Lyngby, Denmark

TL;DR
This paper explores non-linear interactions of cold Sr-88 atoms in an optical cavity to improve laser stabilization, demonstrating high signal-to-noise measurements and analyzing non-linear dynamics for optimal conditions.
Contribution
It presents the first detailed experimental investigation of non-linear spectroscopy of Sr atoms in a low finesse cavity for laser stabilization applications.
Findings
High signal-to-noise ratio phase and absorption measurements achieved
Cavity effects significantly modify observables compared to free space
Optimal conditions for laser stabilization identified
Abstract
We study the non-linear interaction of a cold sample of strontium-88 atoms coupled to a single mode of a low finesse optical cavity in the so-called bad cavity limit and investigate the implications for applications to laser stabilization. The atoms are probed on the weak inter-combination line at 689 nm in a strongly saturated regime. Our measured observables include the atomic induced phase shift and absorption of the light field transmitted through the cavity represented by the complex cavity transmission coefficient. We demonstrate high signal-to-noise-ratio measurements of both quadratures - the cavity transmitted phase and absorption - by employing FM spectroscopy (NICE-OHMS). We also show that when FM spectroscopy is employed in connection with a cavity locked to the probe light, observables…
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