  We study resonant energy transfer in a one-dimensional chain of two to five
atoms by analyzing time-dependent probabilities as function of their
interatomic distances. The dynamics of the system are first investigated by
including the nearest-neighbour interactions and then accounting for all
next-neighbour interactions. We find that inclusion of nearest-neighbour
interactions in the Hamiltonian for three atoms chain exhibits perdiocity
during the energy transfer dynamics, however this behavior displays
aperiodicity with the all-neighbour interactions. It shows for the equidistant
chains of four and five atoms the peaks are always irregular but regular peaks
are retrieved when the inner atoms are placed closer than the atoms at both the
ends. In this arrangement, the energy transfer swings between the atoms at both
ends with very low probability of finding an atom at the center. This
phenomenon resembles with quantum notion of Newton's cradle. We also find out
the maximum distance up to which energy could be transferred within the typical
lifetimes of the Rydberg states.
