Supersymmetric states of quantum droplets
Abstract
A dropleton, or quantum droplet made of bosonic particles interacting via the long range dipole-dipole interaction is a collective state found in rare-earth metal gases. The properties of dropleton are particularly interesting, as droplets composed of a higher number of atoms with large enough magnetic moment may assume a supersymmetric ground state. This effect results when laser electromagnetic fields affect the quantum gas, and reduce the number of available symmetries for the system of magnetic dipoles. Here, we devise a recently developed supersymmetric equation to identify the lowest energy state of dropleton composed of N atoms. We also inspect on the existence of preferred symmetries for various values of N and by modulating the strength and property of the external vector potential. We finally extend our analysis identify the fate of droplets and formed torii during the evolution of time. The results are important for advanced applications in computing and data-processing units based on dropletons, which may form the basis for CPU technologies of the future.
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