  Condensation is the phenomenon whereby one of a sum of random variables
contributes a finite fraction to the sum. It is manifested as an aggregation
phenomenon in diverse physical systems such as coalescence in granular media,
jamming in traffic and gelation in networks. We show here that the same
condensation scenario, which normally happens only if the underlying
probability distribution has tails heavier than exponential, can occur for
light-tailed distributions in the presence of additional constraints. We
demonstrate this phenomenon on the sample variance, whose probability
distribution conditioned on the particular value of the sample mean undergoes a
phase transition. The transition is manifested by a change in behavior of the
large deviation rate function.
