Effects of interactions on the generalized Hong-Ou-Mandel effect

Abstract

We numerically investigate the influence of interactions on the generalized Hong-Ou-Mandel (HOM) effect for bosonic particles 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 $\delta$-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 attractive interactions, i.e., the dip in the HOM coincidence count is progressively smeared out, for increasing interaction strengths. The role of input asymmetries is also explored.

7 pages, 5 figures

References in corpus (8)

• Coherence and Indistinguishability of Single Electrons Emitted by Independent Sources
• Collisions of matter-wave solitons
• Violation of the Cauchy-Schwarz inequality with matter waves
• Multi-Photon Interference and Temporal Distinguishability of Photons
• Excitations of attractive 1-D bosons: Binding vs. fermionization
• A double-well atom trap for fluorescence detection at the Heisenberg limit
• A Mean-Field Analogue of the Hong-Ou-Mandel Experiment With Bright Solitons
• Collision dynamics and entanglement generation of two initially independent and indistinguishable boson pairs in one-dimensional harmonic confinement

Cited by in corpus (2)

• Many-body interference in bosonic dynamics
• Performing Hong-Ou-Mandel-type Numerical Experiments with Repulsive Condensates: The case of Dark and Dark-bright Solitons