Local Dynamics of Extended Fermi Gases at High Density

Abstract: In this talk, I will discuss the quantum evolution of extended many-body pseudo-relativistic Fermi gases in a high-density, semiclassical scaling regime. I will present a result that establishes convergence to the Hartree dynamics in the sense of expectation values of local observables, with a convergence rate depending only on the density. The result applies to initial data describing equilibrium states confined in arbitrarily large domains, under the assumption of suitable local Weyl-type estimates. The proof is based on approximating the initial data by low-temperature quasi-free states, for which one can establish a strong local semiclassical structure, capturing spatial decay of correlations. This structure plays a key role in controlling the local growth of fluctuations under the many-body dynamics. Based on joint work with Marcello Porta (SISSA) and Benjamin Schlein (Zürich).

mathematical physics

Audience: researchers in the discipline

One world IAMP mathematical physics seminar

Series comments: In order to receive announcements, please send an email to IAMPseminars@gmail.com with “subscribe” in the subject line.