“…More subtle quantum e↵ects due to the interaction of optical vortices with atoms and molecules involve internal atomic transitions at near resonance with the beam frequency. Here too, optical forces and torques are at play (Allen et al, 1996a;Andersen et al, 2006;Babiker et al, 1994;Lembessis et al, 2011;Surzhykov et al, 2015), leading to the trapping and manipulation of individual atoms in certain regions of the beam profile, with promising applications in the new field of atomtronics (Andersen et al, 2006;Lembessis and Babiker, 2013;Pepino et al, 2010;Seaman et al, 2007), as well as the proposed generation of atom vortex beams (Hayrapetyan et al, 2013;Lembessis et al, 2014). A related recent advance in matter vortex beams is the realisation of neutron vortex beams in the laboratory (Clark et al, 2015).…”