Boltzmann equations describe the evolution of the probability distribution for gas or fluid particles having a specified position and momentum. A crucial feature of Boltzmann equations are the H-theorem, which explain the increase of entropy with time, i.e., it establishes a direction of time. In comparison, the many-body Newton or Schrödinger equations are reversible, and the question remains whether physical laws are consistent across scales. For quantum particles, i.e., gases/fluids at very low temperatures, the derivation of a Boltzmann equation remains an open problem in mathematical physics. In my talk, we will see how to access quantum Boltzmann dynamics in the corrections to the Bose-Einstein Condensate dynamics. A Bose-Einstein Condensate arises below a critical temperature, and is described by a single wave function satisfying a nonlinear Hartree/Schrödinger equation. This talk is based on joint work with T. Chen.