Hong-Ou-Mandel-like two-droplet correlations
arXiv:1806.03759 · doi:10.1063/1.5032114
Abstract
We present a numerical study of two-droplet pair correlations for in-phase droplets walking on a vibrating bath. Two such walkers are launched towards a common origin. As they approach, their carrier waves may overlap and the droplets have a non-zero probability of forming a two-droplet bound state. The likelihood of such pairing is quantified by measuring the probability of finding the droplets in a bound state at late times. Three generic types of two-droplet correlations are observed: promenading, orbiting and chasing pair of walkers. For certain parameters, the droplets may become correlated for certain initial path differences and remain uncorrelated for others, while in other cases the droplets may never produce droplet pairs. These observations pave the way for further studies of strongly correlated many-droplet behaviors in the hydrodynamical quantum analogs of bouncing and walking droplets.
arXiv comment8 pages, 5 figures
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Cited by in corpus (11)
- Superwalking droplets
- Unsteady dynamics of a classical particle-wave entity
- Hong-Ou-Mandel-like two-droplet correlations
- Hydrodynamic superradiance in wave-mediated cooperative tunneling
- Lorenz-like systems emerging from an integro-differential trajectory equation of a one-dimensional wave-particle entity
- Emergence of superwalking droplets
- Pilot-wave dynamics of two identical, in-phase bouncing droplet
- Anomalous transport of a classical wave-particle entity in a tilted potential
- Stop-and-go locomotion of superwalking droplets
- Dynamics, interference effects, and multistability in a Lorenz-like system of a classical wave-particle entity in a periodic potential
- Quantum-like behavior of an active particle in a double-well potential