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arXiv:0908.2389 · Physical Review A

Stimulated Raman transitions via multiple atomic levels

James Bateman, André Xuereb, Tim Freegarde

Published Apr 12, 2010• 20 citations
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Abstract

We consider the stimulated Raman transition between two long-lived states via multiple intermediate states, such as between hyperfine ground states in the alkali-metal atoms. We present a concise treatment of the general, multilevel, off-resonant case, and we show how the lightshift emerges naturally in this approach. We illustrate our results by application to alkali-metal atoms and we make specific reference to cesium. We comment on some artifacts, due solely to the geometrical overlap of states, which are relevant to existing experiments.

DOI
10.1103/physreva.81.043808

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We report on a spectroscopic method to coherently drive a selective transition between two levels in a ladder system of equally spaced energy levels. A typical example of such a ladder system is a set of Zeeman sublevels in the same hyperfine level of a ground-state alkali-metal atom. The scheme is based on a stimulated Raman transition with a Zeeman sublevel belonging to the other hyperfine level as an intermediate state. We identify quantization conditions on a single-photon detuning and Rabi frequencies for either a $\ensuremath{\pi}/2$ or a $\ensuremath{\pi}$ transition between adjacent Zeeman sublevels without populating the intermediate state. We experimentally demonstrate the scheme using lithium atoms in an optical trap. Application of the scheme includes manipulating a pair of Zeeman sublevels as a quantum bit or probing Zeeman coherence established by coherent population trapping.
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Sodium atoms prepared in hyperfine ground-state 11 > are driven to the other ground-state hyperfine level 12> when two laser beams nearly resonant with an optical transition have a frequency difference equal to the ground-state hyperfine splitting. When the two laser beams are counterpropagating, conservation of momentum between the atom and the light field requires that the atom acquire a velocity kick ~22 ħk/m during the 11> and 12> transition (~6 cm/sec in our experiment). When the lasers are detuned far from the optical transition, spontaneous emission from the intermediate optical level becomes negligible, and the atom behaves as a two-level system coupled to a resonant rf driving field. We have created an interferometer by applying a π/2-π-π/2 Raman pulse sequence: a first π/2 pulse coherently splits the atomic wave packet by putting it in a superposition of states 11> and 12>, a second π pulse occurring a time Δt later redirects each wave packet and a final π/2 pulse recombines the wave packets at time 2Δt. We have observed wave packet interference for wave packet separations of 2.4 mm and, by using the interferometer as an accelerometer, have measured the atom’s acceleration due to gravity to 3 parts in 106.
We consider a quantum memory scheme based on the conversion of a signal pulse into a long-lived spin coherence via stimulated off-resonant Raman process. For a storing medium consisting of alkali-metal atoms, we have calculated the Autler-Townes resonance structure created by a strong control field. By taking into account the upper hyperfine states of the D1{D}_{1}D1​ optical transition, we show important deviations from the predictions of the usual three-level $\ensuremath{\Lambda}$-scheme approximation and we demonstrate an enhancement of the process for particular detunings of the control. We estimate the memory efficiency one can obtain using this configuration.