  We analyze a tripartite entanglement harvesting protocol with three
Unruh-DeWitt detectors adiabatically interacting with a quantum scalar field.
We consider linear, equilateral triangular, and scalene triangular
configurations for the detectors. We find that, under the same parameters, more
entanglement can be extracted in the linear configuration than the equilateral
one, consistent with single instantaneous switching results. No bipartite
entanglement is required to harvest tripartite entanglement. Furthermore, we
find that tripartite entanglement can be harvested even if one detector is at
larger spacelike separations from the other two than in the corresponding
bipartite case. We also find that for small detector separations bipartite
correlations become larger than tripartite ones, leading to an apparent
violation of the Coffman-Kundu-Wootters (CKW) inequality. We show that this is
not a consequence of our perturbative expansion but that it instead occurs
because the harvesting qubits are in a mixed state.
