A theory of Rydberg atom interactions is used to derive analytical forms for
the spin wave pair correlation function in laser-excited cold-atom vapors. This
function controls the quantum statistics of light emission from dense,
inhomogeneous clouds of cold atoms of various spatial dimensionalities. The
results yield distinctive scaling behaviors on the microsecond timescale,
including generalized exponential decay. A detailed comparison is presented
with a recent experiment on a cigar-shaped atomic ensemble [Y. Dudin and A.
Kuzmich, Science 336, 887 (2012)], in which Rb atoms are excited to a set of
Rydberg levels.Comment: 4 pages, Supplemental Material in Appendix, 4 figure