Performing Hong-Ou-Mandel-type Numerical Experiments with Repulsive Condensates: The case of Dark and Dark-bright Solitons
arXiv:1609.06336 · doi:10.1103/PhysRevA.94.063645
Abstract
The Hong-Ou-Mandel experiment leads indistinguishable photons simultaneously reaching a 50:50 beam splitter to emerge on the same port through two-photon interference. Motivated by this phenomenon, we consider numerical experiments of the same flavor for classical, {\it wave} objects in the setting of repulsive condensates. We examine dark solitons interacting with a repulsive barrier, a case in which we find no significant asymmetries in the emerging waves after the collision, presumably due to their topological nature. We also consider case examples of two-component systems, where the dark solitons trap a bright structure in the second-component (dark-bright solitary waves). For these, pronounced asymmetries upon collision {\it are} possible for the non-topological bright component. We also show an example of a similar phenomenology for ring dark-bright structures in two dimensions.
19 pages, 11 figures
References in corpus (13)
- Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
- Formation of bright matter-wave solitons during the collapse of Bose-Einstein condensates
- Generation of dark-bright soliton trains in superfluid-superfluid counterflow
- Experimental observation of oscillating and interacting matter wave dark solitons
- Collisions of matter-wave solitons
- Stationary and non-stationary fluid flow of a Bose-Einstein condensate through a penetrable barrier
- An atomic Hong-Ou-Mandel experiment
- Controlling the transverse instability of dark solitons and nucleation of vortices by a potential barrier
- Bright matter-wave soliton collisions at narrow barriers
- Scattering bright solitons: quantum versus mean-field behavior
- Multi-Photon Interference and Temporal Distinguishability of Photons
- A Mean-Field Analogue of the Hong-Ou-Mandel Experiment With Bright Solitons
- Effects of interactions on the generalized Hong-Ou-Mandel effect