In the language of quantum information theory we study the entropy squeezin
g of a two-level atom in a Kerr-like medium. A definition of squeezing is p
resented for this system, based on information theory. The utility of the d
efinition is illustrated by examining the entropy squeezing of a two-level
atom with a Kerr-like medium. The influence of the non-linear interaction o
f the Kerr medium, the atomic coherence and the detuning parameter on the p
roperties of the entropy and squeezing of the atomic variables is examined.