Quantum systems of ultra-cold bosons with customized inter-particle interactions

Abstract

Recent progress in cooling and trapping of polarized clouds of chromium ${}^{52}Cr$, dysprosium ${}^{164}Dy$ and erbium ${}^{168}Er$ opens a road-map to quantum systems where shapes of inter-particle interactions can be customized. The main purpose of this work is to get a deeper insight on a role which the overall shape of the inter-particle interaction plays in a context of trapped ultra-cold bosons. We show that strong inter-particle repulsion inevitably leads to multi-hump fragmentation of the ground state. The fragmentation phenomenon is universal -- it takes place in traps of different dimensionality and topologies and for very broad classes of repulsive inter-particle potentials. The physics behind is identified and explained.

12 pages, 4 figures, supplementary material (12 pages, 2 figures)

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Cited by in corpus (34)

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• Condensate fragmentation as a sensitive measure of the quantum many-body behavior of bosons with long-range interactions
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• Spatially partitioned many-body vortices
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