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

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QMath > Events > Quantum Lunch > w33 Chira Boccato

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

Speaker: Chiara Boccato from Universität Zürich

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.