We present a novel scheme for reducing the AC Stark effect in optical-microwave double-resonance spectroscopy and its application for efficient suppression of the light-shift-related instabilities in laser-pumped gas-cell atomic clocks. The method uses a multi-frequency pump light field that can be easily produced by frequency modulation of the single-frequency pump laser. We show theoretically that variations of the light shift with both laser frequency and light intensity can be strongly suppressed with properly chosen pump light spectra. Suitable modulation parameters can be found for both the case of pure frequency modulation as well as for pump light spectra showing amplitude-modulation contributions, as usually found for current modulation of diode lasers. We experimentally demonstrate the method for a Rb atomic clock using a frequency-modulated distributed Braggreflector laser diode as pump light source.
IntroductionThe light shift (LS), also known as the AC Stark effect or optical Stark effect, of an atomic level caused by optical probing is a well-known phenomenon. It arises from the interaction of an induced dipole moment with the oscillating electric field of the light, resulting in a shift of the atomic levels and transition frequencies linear with light intensity in the limit of weak fields [1,2]. The existence, control, or reduction of the LS plays a crucial role in many fields of fundamental and applied science, for example Sisyphus [3] and Raman sideband cooling [4][5][6] of atoms in optical lattices [7] or ion-trap quantum information processing [8].The LS also constitutes one of the main sources of instability in such different types of atomic frequency standards [9] as primary atomic fountain clocks [10,11], thermal Cs-beam clocks [12], proposed optical frequency standards [13], and vapour-cell atomic clocks based on optical pumping [14,15] ✉ Fax: +41-32-7220420, E-mail: gaetano.mileti@ne.ch or coherent population trapping (CPT) [16,17]. A number of different approaches have thus been developed to reduce the AC Stark effect in frequency standards. These rely, for example, on mechanical shutters [10,18] or rotating 'light traps' [19] to block unwanted laser light in cold-atom clocks, spatial separation of pump and probe regions in Rb masers [20], or the proposed use of optical lattices at 'magic wavelength' that would balance different LS contributions in optical clocks [13].Here we concentrate on vapour-cell secondary atomic clocks, that offer competitive frequency stabilities both in the short-term (10 −12 to 10 −11 at 1 s) and in the long-term scale (10 −14 to 10 −11 at one day) within a compact (≤ 0.5 to 2.0 l), light (≤ 0.5 to 3.5 kg), and low-power (≤ 8 to 35 W) device. These have found a variety of applications in science, telecommunications, industry, and satellite navigation systems (GALILEO, GPS). Schemes developed for the reduction of the LS in such commercial lamp-pumped Rb clocks [9,14] are mostly based on pulsed optical excitation [21,22] while, for laboratory prototype ...