Ac Stark shift measurements of the clock transition in cold Cs atoms: Scalar and tensor light shifts of theD2transition

Abstract

The ac Stark shift, or light shift, is a physical phenomenon that plays a fundamental role in many applications ranging from basic atomic physics to applied quantum electronics. Here, we discuss experiments testing light-shift theory in a cold-atom cesium fountain clock for the Cs ${D}_{2}$ transition (i.e., $6\phantom{\rule{0.28em}{0ex}}{}^{2}{S}_{1/2}\ensuremath{\rightarrow}6\phantom{\rule{0.28em}{0ex}}{}^{2}{P}_{3/2}$ at 852 nm). Cold-atom fountains represent a nearly ideal system for the study of light shifts: (1) The atoms can be perturbed by a field of arbitrary character (e.g., coherent field or nonclassical field); (2) there are no trapping fields to complicate data interpretation; (3) the probed atoms are essentially motionless in their center-of-mass reference frame, $T$ \ensuremath{\sim} 1 \ensuremath{\mu}K; and (4) the atoms are in an essentially collisionless environment. Moreover, in the present work the resolution of the Cs excited-state hyperfine splittings implies that the ${D}_{2}$ ac Stark shift contains a nonzero tensor polarizability contribution, which does not appear in vapor phase experiments due to Doppler broadening. Here, we test the linearity of the ac Stark shift with field intensity, and measure the light shift as a function of field frequency, generating a ``light-shift curve.'' We have improved on the previous best test of theory by a factor of 2, and after subtracting the theoretical scalar light shift from the experimental light-shift curves, we have isolated and tested the tensor light shift for an alkali ${D}_{2}$ transition.