Structure of wavefunction for interacting bosons in mean-field with random k-body interactions

Wavefunction structure is analyzed for dense interacting many-boson systems using Hamiltonian H, which a sum of one-body h(1) and an embedded GOE k-body interaction V(k) with strength ?. In the first analysis, complete analytical description variance function as ? k derived marker ?t defining thermalization region obtained. strong coupling limit (?>?t), conditional q-normal density describes Gaussian to semi-circle transition in functions body rank increases. second this interpolating form utilized describe fidelity decay after quench also obtain smooth number principal components, measure chaos finite many-particle systems. The very well ensemble results all values.