Those effects are the "quadratic" and "giant" versions, respectively.  
This effect explains the nondegeneracy of exciton transitions on a quantum dot.  One form of this effect was first experimentally confirmed by Garton and Tomkins.  Another version of this effect is responsible for polarization of a carrier gas in the Zener model of carrier-induced (*) ferromagnetism.  Those effects are the "quadratic" and "giant" versions, respectively.  The "displacement" due to this effect is equal to the Bohr magneton divided by Planck's constant, and this effect is often modeled using an S-curve.  Its anomalous version applies to atoms with odd atomic number, while the Stark Effect is its electrical analog and the Paschen-Back effect is a special case of this effect in the presence of strong magnetic fields.  For 10 points, name this effect describing the splitting of spectral lines in a magnetic field, named after a German physicist.
This effect explains the nondegeneracy of exciton transitions on a quantum dot.  
{Zeeman} Effect (2) [DW]