Generic properties of bosonic systems with random interactions.

Quantum many-body dynamics is of paramount importance in many branches of science. The emergence of mean-fields, formation of effective degrees of freedom, and appearance of dynamical symmetries are often generic results of two-body interactions. While the fermionic systems driven by random two-body interactions have been extensively discussed in the past, the physics of bosonic systems is less understood. In this work we study systems of bosons driven by random two-body interactions. We find that there are some statistical and collective limits that resemble the corresponding fermionic cases, however we also find that condensation and clusterization, which for fermions would be blocked by the Pauli principle, play a significant role in shaping many-boson structures. We present numerical studies and explore special analytic limits to support our findings.