



@article {1781,
	title = {A Hubbard model for ultracold bosonic atoms interacting via zero-point-energy induced three-body interactions},
	journal = {Physical Review A},
	volume = {93},
	year = {2016},
	month = {2016/04/19},
	pages = {043616},
	abstract = {<p>We show that for ultra-cold neutral bosonic atoms held in a three-dimensional periodic potential or optical lattice, a Hubbard model with dominant, attractive three-body interactions can be generated. In fact, we derive that the effect of pair-wise interactions can be made small or zero starting from the realization that collisions occur at the zero-point energy of an optical lattice site and the strength of the interactions is energy dependent from effective-range contributions. We determine the strength of the two- and three-body interactions for scattering from van-der-Waals potentials and near Fano-Feshbach resonances. For van-der-Waals potentials, which for example describe scattering of alkaline-earth atoms, we find that the pair-wise interaction can only be turned off for species with a small negative scattering length, leaving the 88Sr isotope a possible candidate. Interestingly, for collisional magnetic Feshbach resonances this restriction does not apply and there often exist magnetic fields where the two-body interaction is small. We illustrate this result for several known narrow resonances between alkali-metal atoms as well as chromium atoms. Finally, we compare the size of the three-body interaction with hopping rates and describe limits due to three-body recombination.</p>},
	doi = {10.1103/PhysRevA.93.043616},
	url = {http://journals.aps.org/pra/abstract/10.1103/PhysRevA.93.043616},
	author = {Saurabh Paul and P. R. Johnson and Eite Tiesinga}
}
