Measurement of the quadratic Zeeman shift of ^{85}Rb hyperfine sublevels using stimulated Raman transitions

TL;DR

This paper presents a direct measurement technique for the quadratic Zeeman shift in ^{85}Rb hyperfine sublevels using stimulated Raman transitions, achieving precise quantification and Stark shift cancellation.

Contribution

The study introduces a novel method for directly measuring the quadratic Zeeman shift with high accuracy in ^{85}Rb using stimulated Raman transitions.

Findings

Measured quadratic Zeeman shift as 1296.8 +/- 3.3 Hz/G^2

Determined Stark shift cancellation ratio of 1:3.67

Demonstrated compensation of magnetic field and Stark shifts

Abstract

We demonstrate a technique for directly measuring the quadratic Zeeman shift using stimulated Raman transitions.The quadratic Zeeman shift has been measured yielding [delta][nju] = 1296.8 +/-3.3 Hz/G^{2} for magnetically insensitive sublevels (5S1/2, F = 2,mF = 0 -> 5S1/2, F = 3,mF = 0) of ^{85}Rb by compensating the magnetic eld and cancelling the ac Stark shift. We also measured the cancellation ratio of the differential ac Stark shift due to the imbalanced Raman beams by using two pairs of Raman beams ([sigma]^{+}, [sigma]^{+}) and it is 1:3.67 when the one-photon detuning is 1.5 GHz in the experiment.