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Bosonic degrees of freedom and their emergence as a part of complex quantummany-body dynamics, symmetries, collective behavior, clustering and phasetransitions play an important role in modern studies of quantum systems. Inthis work we present a systematic study of many-boson systems governed byrandom interactions. Our findings show that ground states of randomlyinteracting bosons are not random, being dominated by a few collectiveconfigurations containing condensates of clusters.

Are the ground states of randomly interacting bosons random?