Velocity Distribution
The Maxwell-Boltzmann distribution narrows as atoms cool. The Doppler limit (T_D = ħΓ/2k_B) is set by spontaneous emission randomness — each photon kick adds √2 · ħk of momentum noise.
Sisyphus cooling (below T_D): atoms climb potential hills of the standing wave, lose energy, optically pump to valley — like Sisyphus pushing a boulder uphill forever.