Pulsed Laser Deposition techniques have advanced to the point
that atomically precise "digitial heterostructures" can be created out of
"correlated electron" materials such as high temperature superconductors
and colossal magnetoresistance manganites. The new structures raise the possibility
of new phenomena not obtainable in naturally occurring materials. After a brief survey
of the field, the theoretical issues will be discussed and recent results will be presented.
In this context, new "stochastic series" methods for studying the quantum mechanics
of strongly correlated systems will be presented.