  We consider how to generate and detect Einstein-Podolsky-Rosen (EPR)
entanglement and the steering paradox between groups of atoms in two separated
potential wells in a Bose-Einstein condensate (BEC). We present experimental
criteria for this form of entanglement, and propose experimental strategies for
detecting entanglement using two or four mode ground states. These approaches
use spatial and/or internal modes. We also present higher order criteria that
act as signatures to detect the multiparticle entanglement present in this
system. We point out the difference between spatial entanglement using
separated detectors, and other types of entanglement that do n}ot require
spatial separation. The four-mode approach with two spatial and two internal
modes results in an entanglement signature with spatially separated detectors,
conceptually similar to the original EPR paradox.
