The excitation spectrum of Bose gases interacting through singular potentials

Date: Thursday, November 23, 2017 16:00 - 18:00
Speaker: Chiara Boccato (IST Austria)
Location: Big Seminar room Ground floor / Office Bldg West (I21.EG.101)
Series: Physical Sciences Seminar
Host: Robert Seiringer

We consider systems of $N$ bosons in a box with periodic boundary conditions, interacting through a repulsive two-body potential of the form $\kappa V(N^\beta x)$. For all $0 < \beta < 1$, and for sufficiently small coupling constant $\kappa > 0$, we establish the validity of Bogoliubov theory, identifying the ground state energy and the low-lying excitation spectrum up to errors that vanish in the limit of large $N$.

Joint work with Christian Brennecke, Serena Cenatiempo and Benjamin Schlein.