The normal modes of N identical trapped particles switch from molecular-like few-body motions to many-body collective motions by N≈10, and in the unitary Fermi gas they become unmixed in radial/angular character with large frequency gaps at large N.
i) In the [ N ] sector, the breathing motion of the radial [N ] mode retains this character as N increases with the symmetric radial displacements simply decreasing in amplitude
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Normal modes for N identical particles: A study of the evolution of collective behavior from few-body to many-body
The normal modes of N identical trapped particles switch from molecular-like few-body motions to many-body collective motions by N≈10, and in the unitary Fermi gas they become unmixed in radial/angular character with large frequency gaps at large N.