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We argue that the non-adiabatic evolution of spin states in Stern-Gerlachapparatus can blur the manifestation of path spin entanglement. This factintroduces a contradiction to the usual perception of spin measurement even ina formally ideal situation. Through quantitative calculation, we have pointedout the specific reason behind the breakdown of adiabatic evolution to be thespatial inhomogeneity of applied magnetic field. The angle $\theta$ between the$z$ component of magnetic moment of the particle and applied magnetic field isalso a determining factor for the category of evolution of spin states.Adiabaticity always can be restored by choosing a sufficiently small value of$\theta$. Considering azimuthal inhomogeneity, we have examined the nature ofpath spin entanglement in the context of Stern-Gerlach experiment.

Blurred path-spin entanglement in Stern-Gerlach apparatus: interplay between magnetic inhomogeneity and Larmor precession