Harvesting Entanglement from the Black Hole Vacuum
We implement the entanglement harvesting protocol, in which two Unruh-DeWitt detectors become entangled through local interactions with a quantum field, for the first time in the vicinity of a black hole. Our study, focusing on the BTZ black hole, reveals that black holes inhibit entanglement harvesting. The entanglement harvested rapidly falls to zero when two detectors with fixed proper separation approach the horizon. This effect is a combination of black hole radiation and gravitational red shift, both generic properties of horizons, suggesting it is a general result for black holes.