Analogue Gravitational Lensing in Bose-Einstein Condensates

We consider the propagation of phonons in the presence of a particle sink with radial flow in a Bose-Einstein condensate. Because the particle sink can be used to simulate a static acoustic black hole, the phonon would experience a considerable spacetime curvature at appreciable distance from the sink. The trajectory of the phonons is bended after passing by the particle sink, which can be used as a simulation of the gravitational lensing effect in a Bose-Einstein condensate. Possible experimental implementations are discussed.