  An integrated coherent matter wave circuit is a single device, analogous to
an integrated optical circuit, in which coherent de Broglie waves are created
and then launched into waveguides where they can be switched, divided,
recombined, and detected as they propagate. Applications of such circuits
include guided atom interferometers, atomtronic circuits, and precisely
controlled delivery of atoms. Here we report experiments demonstrating
integrated circuits for guided coherent matter waves. The circuit elements are
created with the painted potential technique, a form of time-averaged optical
dipole potential in which a rapidly-moving, tightly-focused laser beam exerts
forces on atoms through their electric polarizability. The source of coherent
matter waves is a Bose-Einstein condensate (BEC). We launch BECs into painted
waveguides that guide them around bends and form switches, phase coherent
beamsplitters, and closed circuits. These are the basic elements that are
needed to engineer arbitrarily complex matter wave circuitry.
