Q:

Accelerate neutral particles

I know it is not possible to accelerate particles via the Lorentz force $F=q(E+v\times B)$, because $q=0$.
However, the magnetic moment $\vec\mu$ for such a particle usually is $\neq 0$. Is there a possibility to increase the speed of neutral particles (not just bend their path like in Stern-Gerlach experiment) via magnetic forces acting on their spin?

A:

The Stern-Gerlach experiment uses an inhomogeneous magnetic field on a particle with a spin that is proportional to the particle's magnetic moment.
An inhomogeneous magnetic field does increase the speed of the particle, not merely bend it. The link you cited does not claim otherwise.

