A Bose-Einstein condensate may be used to make precise measurements of weak
forces, utilizing the macroscopic occupation of a single quantum state. We
present a scheme which uses a condensate in a double-well potential to do
this. The required initial state of the condensate is discussed, and the li
mitations on the sensitivity due to atom collisions and external coupling a
re analyzed. [S1050-2947(99)05006-4].