Quantum Boltzmann dynamics and bosonized particle-hole interactions in fermion gases
arXiv:2306.03300
Abstract
In this paper, we study a cold gas of weakly interacting fermions. We describe the time evolution of states that are perturbations of the Fermi ball, and analyze the dynamics in particle-hole variables. Our main result states that, for small values of the coupling constant and for appropriate initial data, the effective dynamics of the momentum distribution is determined by a discrete collision operator of quantum Boltzmann form.
83 pages, 0 figures. Final version, to appear in JSP