  We examine in $(2+1)$-dimensional anti-de Sitter (AdS) space the phenomena of
entanglement harvesting - the process in which a pair of detectors (two-level
atoms) extract entanglement from a quantum field through local interactions
with the field. We begin by reviewing the Unruh-DeWitt detector and its
interaction with a real scalar field in the vacuum state, as well as the
entanglement harvesting protocol in general. We then examine how the
entanglement harvested by a pair of such detectors depends on their spacetime
trajectory, separation, spacetime curvature, and boundary conditions satisfied
by the field. The harvested entanglement is interpreted as an indicator of
field entanglement between the localized regions where the detectors interact
with the field, and thus this investigation allows us to probe indirectly the
entanglement structure of the AdS vacuum. We find an island of separability for
specific values of the detectors' energy gap and separation at intermediate
values of the AdS length for which entanglement harvesting is not possible; an
analogous phenomena is observed in AdS$_4$, to which we compare and contrast
our results. In the process we examine how the transition probability of a
single detector, as a proxy for local fluctuations of the field, depends on
spacetime curvature, its location in AdS space, and boundary conditions
satisfied by the field.
