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Collective coherent light scattering by polarizable particles createssurprisingly strong, long range inter-particle forces originating frominterference of the light scattered by different particles. While formonochromatic laser beams this interaction decays with the inverse distance, weshow here that in general the effective interaction range and geometry can becontrolled by the illumination bandwidth and geometry. As generic example westudy the modifications inter-particle forces within a 1D chain of atomstrapped in the field of a confined optical nanofiber mode. For two particles wefind short range attraction as well as optical binding at multiple distances.The range of stable distances shrinks with increasing light bandwidth and for avery large bandwidth field as e.g. blackbody radiation we find a stronglyattractive potential up to a critical distance beyond which the force getsrepulsive. Including multiple scattering can even lead to the appearance of astable configuration at a large distance. Such broadband scattering forcesshould be observable contributions in ultra-cold atom interferometers or atomicclocks setups. They could be studied in detail in 1D~geometries with ultra-coldatoms trapped along or within an optical nanofiber. Broadband radiation forceinteractions might also contribute in astrophysical scenarios as illuminatedcold dust clouds.

Tailored long range forces on polarizable particles by collective scattering of broadband radiation