Performing Hong-Ou-Mandel-type Numerical Experiments with Repulsive Condensates: The case of Dark and Dark-bright Solitons

摘要

The Hong-Ou-Mandel experiment leads indistinguishable photons simultaneouslyreaching a 50:50 beam splitter to emerge on the same port through two-photoninterference. Motivated by this phenomenon, we consider numerical experimentsof the same flavor for classical, {\it wave} objects in the setting ofrepulsive condensates. We examine dark solitons interacting with a repulsivebarrier, a case in which we find no significant asymmetries in the emergingwaves after the collision, presumably due to their topological nature. We alsoconsider case examples of two-component systems, where the dark solitons trap abright structure in the second-component (dark-bright solitary waves). Forthese, pronounced asymmetries upon collision {\it are} possible for thenon-topological bright component. We also show an example of a similarphenomenology for ring dark-bright structures in two dimensions.