# QLunch: The excitation spectrum of Bose gases interacting through singular potentials – University of Copenhagen

QMath > Events > Quantum Lunch > w33 Chira Boccato

# QLunch: The excitation spectrum of Bose gases interacting through singular potentials

Title:
The excitation spectrum of Bose gases interacting through singular potentials

Abstract:
We consider systems of $N$ bosons in a box with periodic boundary conditions, interacting through a repulsive two-body potential of the form $\kappa N^{3\beta-1} V(N^\beta x)$. 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.