Rydberg-Rydberg interaction profile from the excitation dynamics of   ultracold atoms in lattices
  We propose a method for the determination of the interaction potential of Rydberg atoms. Specifically, we consider a laser-driven Rydberg gas confined in a one-dimensional lattice and demonstrate that the Rydberg atom number after a laser excitation cycle as a function of the laser detuning provides a measure for the Rydberg interaction coefficient. With the lattice spacing precisely known, the proposed scheme only relies on the measurement of the number of Rydberg atoms and thus circumvents the necessity to map the interaction potential by varying the interparticle separation. 
Michael Mayle, Wolfgang Zeller, Nikolas Tezak, Peter Schmelcher
quant-ph physics.atom-ph