Physical Sciences and Mathematics Commons^™

Effects Of Interactions On The Generalized Hong–Ou–Mandel Effect, B. Gertjerenken, P. G. Kevrekidis

Mathematics and Statistics Department Faculty Publication Series

We numerically investigate the influence of interactions on the generalized Hong–Ou–Mandel (HOM) effect for bosonic particles in a (quasi-)one-dimensional set-up with weak harmonic confinement and show results for the cases of N = 2, N = 3 and N = 4 bosons interacting with a beam splitter, whose role is played by a δ-barrier. In particular, we focus on the effect of attractive interactions and compare the results with the repulsive case, as well as with the analytically available results for the non-interacting case (that we use as a benchmark). We observe a fermionization effect both for growing repulsive and …