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The long-range part of the interatomic interactions plays a substantial rolein the collisional dynamics of ultracold gases. Here, we report on thecalculation of the isotropic and anisotropic $C_6$ coefficients characterizingthe van der Waals interaction between dysprosium or erbium atoms in the twolowest energy levels and the ground-state alkali-metal (Li, Na, K, Rb, Cs, Fr)or alkaline-earth-metal (Be, Mg, Ca, Sr, Ba) atoms. The calculations are doneusing the integral of dynamic dipole polarizabilities at so-called imaginaryfrequencies of the two interacting atoms. For all atom pairs, we find that theisotropic $C_6$ coefficients are two or three orders of magnitude larger thanthe anisotropic ones. Those coefficients are essential for modeling collisionalproperties of heteronuclear quantum mixtures containing highly magneticdysprosium or erbium atoms and alkali-metal or alkaline-earth-metal atoms.

Van der Waals coefficients for interactions of dysprosium and erbium atoms with alkali-metal and alkaline-earth-metal atoms