We report on the amplification of an optical vortex beam carrying orbital
angular momentum via induced narrow Raman gain in an ensemble of cold cesium
atoms. A 20\% single-pass Raman gain of a weak vortex signal field is observed
with a spectral width of order of 1 MHz, much smaller than the natural width,
demonstrating that the amplification process preserves the phase structure of
the vortex beam. The gain is observed in the degenerated two-level system
associated with the hyperfine transition 6S1/2(F=3)↔6P3/2(F′=2) of cesium. Our experimental observations are explained
with a simple theoretical model based on a three-level Λ system
interacting coherently with the weak Laguerre-Gauss field and a strong coupling
field, including an incoherent pumping rate between the two degenerate
ground-states.Comment: 9 pages, 4 figure