Correlations of Rydberg excitations in an ultra-cold gas after an echo sequence

Details Correlations of Rydberg excitations in an ultra-cold gas after an echo sequence Correlations of Rydberg excitations in an ultra-cold gas after an echo sequence

2009-11-04

arxiv.org/abs/0911.0772v1

Phys. Rev. A 81, 023406 (2010)

Physics

Atomic Physics

8 pages, 6 figures

Scientific paper

10.1103/PhysRevA.81.023406

We show that Rydberg states in an ultra-cold gas can be excited with strongly preferred nearest-neighbor distance if densities are well below saturation. The scheme makes use of an echo sequence in which the first half of a laser pulse excites Rydberg states while the second half returns atoms to the ground state, as in the experiment of Raitzsch et al. [Phys. Rev. Lett. 100 (2008) 013002]. Near to the end of the echo sequence, almost any remaining Rydberg atom is separated from its next-neighbor Rydberg atom by a distance slightly larger than the instantaneous blockade radius half-way through the pulse. These correlations lead to large deviations of the atom counting statistics from a Poissonian distribution. Our results are based on the exact quantum evolution of samples with small numbers of atoms. We finally demonstrate the utility of the omega-expansion for the approximate description of correlation dynamics through an echo sequence.

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