Quantum Boltzmann dynamics in Fermi gases
Mathphys Analysis Seminar
Date
Tuesday, November 7, 2023 16:15 - 17:15
Speaker
Esteban Cardenas (UT Austin)
Location
Heinzel Seminar Room (I21.EG.101), Office Building West, ISTA
Series
Seminar/Talk
Tags
Mathematics and CS Seminar, mathematical_seminar_ics
Host
Robert Seiringer
Contact
The derivation of the quantum Boltzmann equation is an open problem in mathematical physics, with at least forty years of history. In parallel, the understanding of large quantum systems in the mean-field scaling regime has grown tremendously, and has led to the rigorous implementation of key physical ideas. Among them, is the “bosonization” of systems of fermions at low temperatures. In this talk, I present new results for dense, weakly interacting Fermi gases, in which the emergence of quantum Boltzmann dynamics is linked to this bosonization phenomenon. This talk is based on joint work with Thomas Chen.