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In 1927, at the Solvay conference, Einstein posed a thought experiment withthe primary intention of showing the incompleteness of quantum mechanics; toprove it, he uses the instantaneous nonlocal effects caused by the collapse ofthe wave function of a single particle -the spooky action at a distance-, whena measurement is done. This historical event precede the well-knowEinstein-Podolsk-Rosen criticism over the incompleteness of quantum mechanics.Here, by using the Stern-Gerlach experiment (SGE), we demonstrate how theinstantaneous nonlocal feature of the collapse of the wave function togetherwith the single-particle entanglement can be used to produce the nonlocaleffect of steering. In the steering process Bob gets a quantum state dependingon which observable Alice decides to measure. To accomplish this, we fullyexploit the spreading (over large distances) of the entangled wave function ofthe single-particle. In particular, we demonstrate that the nonlocality of thesingle-particle entanglement allows the particle to know which detector Aliceis using to steer Bob's state. Therefore, notwithstanding strongcounterarguments, we prove that the single-particle entanglement gives rise totruly nonlocal effects at two far a away places. This open the possibility ofusing the single-particle entanglement for implementing truly nonlocal task.

Single-particle entanglement gives rise to truly nonlocal effects like single-particle steering