Abstract
Small crystallites form when finite quantal systems are set highly rotating. This crystallization is independent of the statistics of the particles, and occurs for both trapped bosons and fermions. The spin degree of freedom does not change the tendency for localization. In a highly rotating state, the strongly correlated bosonic and fermionic systems approach to that of classical particles.
Highlights
: In molecules and solids, the atoms may organize to well ordered geometrical structures which largely determine their physical and chemical properties
We demonstrate that more generally, repulsively interacting quantum particles – no matter whether they obey bosonic or fermionic statistics – localize when brought to extreme rotation, forming a rotational analog to the above mentioned Wigner crystal at low electron densities
The localization is nearly independent of the interparticle interaction and the statistics of the particles, and occurs if the spin degree of freedom is considered
Summary
: In molecules and solids, the atoms may organize to well ordered geometrical structures which largely determine their physical and chemical properties. At low angular momenta (and for large particle numbers), the rotational spectrum correspondingly shows localization of quasi-particles which are identified as vortices [35, 36].
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