Joint Math Department and CMSA Random Matrix and Probability Theory Seminar: A simplified approach to interacting Bose gases

RANDOM MATRIX

Speaker:

Ian Jauslin - Princeton University

will speak on:

A Simplified Approach to Interacting Bose Gases

via Zoom Video Conferencing: https://harvard.zoom.us/j/147308224

I will discuss some new results about an effective theory introduced by Lieb in 1963 to approximate the ground state energy of interacting Bosons at low density. In this regime, it agrees with the predictions of Bogolyubov. At high densities, Hartree theory provides a good approximation. In this talk, I will show that the '63 effective theory is actually exact at both low and high densities, and numerically accurate to within a few percents in between, thus providing a new approach to the quantum many body problem that bridges the gap between low and high density.