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We consider an evolution of two elementary quantum particles and ask thequestion: under what conditions such a system behaves as a single object? It isobvious that if the attraction between the particles is stronger than any otherforce acting on them the whole system behaves as one. However, recent insightfrom the quantum information theory suggests that in bipartite systems it isnot attraction per se that is responsible for the composite nature, but theentanglement between the parts. Since entanglement can be present between thesubsystems that interacted in the past, but do not interact anymore, it isnatural to ask when such an entangled pair behaves as a single object. We showthat there are situations when entanglement is enough to observesingle-particle behaviour. However, due to the no-signalling condition, ingeneral an interaction, or a post-selective measurement, is necessary for acomplex collective behaviour.

On dynamical stability of composite quantum particles: when entanglement is enough and when interaction is needed