Results from dielectric and structural measurements on epitaxial SrTiO 3 /BaZrO 3 superlattices reveal properties that cannot be explained simply in terms of those measured on single films of the constituent materials. The periodic stacking of epitaxial perovskite films, and thus the formation of artificial superlattice structures, allows us to intimately couple dissimilar materials and to observe emerging physical properties that are not necessarily a simple combination of those found in the constituent materials. Motivated both by the technological interest in ferroelectrics for device applications and the quite good understanding of these materials' intriguing properties, structures consisting of paraelectric and ferroelectric layers have received considerable attention. Here we report on the observation of ferroelectric and antiferroelectric properties in structures consisting entirely of paraelectric constituents, and show that the data are compatible with an interpretation of strain-induced ferroelectricity at room temperature and spacing-dependent coupling between such layer.