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 (46)
- Formation and Propagation of Matter Wave Soliton Trains
- Formation of a Matter-Wave Bright Soliton
- Dark Solitons in Bose-Einstein Condensates
- Watching dark solitons decay into vortex rings in a Bose-Einstein condensate
- Dark solitons in atomic Bose-Einstein condensates: from theory to experiments
- 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
- Non-Equilibrium Dynamics and Superfluid Ring Excitations in Binary Bose-Einstein Condensates
- An atomic Hong-Ou-Mandel experiment
- Frequency-domain Hong-Ou-Mandel interference
- Dark-dark solitons and modulational instability in miscible, two-component Bose-Einstein condensates
- Controlled formation and reflection of a bright solitary matter-wave
- Families of Matter-Waves for Two-Component Bose-Einstein Condensates
- Multiple atomic dark solitons in cigar-shaped Bose-Einstein condensates
- Breakdown of superfluidity of an atom laser past an obstacle
- Dynamics of Dark-Bright Solitons in Cigar-Shaped Bose-Einstein Condensates
- Controlling the transverse instability of dark solitons and nucleation of vortices by a potential barrier
- Observation of quantum interference in the plasmonic Hong-Ou-Mandel effect
- Generalised Hong-Ou-Mandel Experiments with Bosons and Fermions
- Bright matter-wave soliton collisions at narrow barriers
- Quantum dynamics of atomic bright solitons under splitting and re-collision, and implications for interferometry
- Dark-bright Solitons and their Lattices in Atomic Bose-Einstein Condensates
- Vector Dark-Antidark Solitary Waves in Multi-Component Bose-Einstein condensates
- Inelastic Collisions of Solitary Waves in Anisotropic Bose-Einstein Condensates: Sling-Shot Events and Expanding Collision Bubbles
- Interactions of solitons with a Gaussian barrier: Splitting and recombination in quasi-1D and 3D
- Proposal for demonstrating the Hong-Ou-Mandel effect with matter waves
- Vortex-Bright Soliton Dipoles: Bifurcations, Symmetry Breaking and Soliton Tunneling in a Vortex-Induced Double Well
- Scattering bright solitons: quantum versus mean-field behavior
- Dark soliton past a finite-size obstacle
- Scattering of atomic dark-bright solitons from narrow impurities
- Statics and dynamics of atomic dark-bright solitons in the presence of delta-like impurities
- Multi-Photon Interference and Temporal Distinguishability of Photons
- Cerenkov-like radiation in a binary Schr{ö}dinger flow past an obstacle
- Propagation of a Dark Soliton in a Disordered Bose-Einstein Condensate
- Dynamics of trapped bright solitons in the presence of localized inhomogeneities
- Manipulation of Vortices by Localized Impurities in Bose-Einstein Condensates
- Dark-bright ring solitons in Bose-Einstein condensates
- Generating, dragging and releasing dark solitons in elongated Bose-Einstein condensates
- Stabilization of ring dark solitons in Bose-Einstein condensates
- A Mean-Field Analogue of the Hong-Ou-Mandel Experiment With Bright Solitons
- Dark solitons near potential and nonlinearity steps
- Effects of interactions on the generalized Hong-Ou-Mandel effect