QLunch: Asbjørn Bækgaard Lauritsen

Speaker: Asbjørn Bækgaard Lauritsen

Title: Dilute Fermi gases: Upper bounds via cluster expansion

I will present recent work on obtaining upper bounds for dilute Fermi
gases capturing the leading corrections to the kinetic energies coming
from the interactions. One of the main ingredients in the proof is a
rigorous version of a formal cluster expansion of Gaudin, Gillespie
and Ripka (Nucl. Phys. A, 176.2 (1971), pp. 237-260). I will discuss
this expansion and the analysis of its absolute convergence.

Joint work with Robert Seiringer. Based on arXiv:2301.04894 and 2301.08005.