Unexpected wave-like statistics of coupled walking drops*

Walking drops are one of the rare examples of non-quantum wave-particle duality. A series of striking experiments of one walking drop has lead to behaviors that were thought to the peculiar to the quantum scale. The behavior of many particles is now a burgeoning topic in the field. In this talk I will present a recent investigation involving the coupling two walking drops. To our great surprise, we have found that the statistical behaviors of this system shares some non-expected features of collective emission of photons in quantum optics. This result is very intriguing as the quantum counterpart is the signature of non-separable states which in our case, is the result of a collective wave self-organisation. I will discuss potential analogy with the two systems and present our main results.