Adiabatic Evolution

A spin-1/2 in a slowly rotating magnetic field accumulates a Berry phase γ = −Ω/2 (half the solid angle). Landau-Zener transitions occur at avoided crossings.

γ = i∮⟨n|∇_R|n⟩·dR
γ = −Ω/2 (solid angle)
Berry phase γ: 0.00 rad
LZ transition prob: 0.000
Adiabaticity: —
Cycles done: 0