Dilute Bosons in two Dimensions

Lukas Junge (U of Copenhagen)

Nov 27. 2025, 14:45 — 15:25

We consider dilute Bosons in two spatial dimensions interacting with repulsive potential. We provide a proof of the corresponding Lee-Huang-Yang formula in two dimensions predicted by Mora and Castin in 2009. We also disucuss the excitation spectrum and the free energy in the thermo dynamical limit. We will highligt some of the main differences between the two dimensions and three dimensions, and give a easy proof for why the hardcore potential in two dimenions is much easier than in three.

Further Information
Venue:
ESI Boltzmann Lecture Hall
Recordings:
Recording
Associated Event:
Quantum Many-body Systems and Bose-Einstein Condensation: A Mathematical Physics Perspective (Workshop)
Organizer(s):
Serena Cenatiempo (Gran Sasso Science Institute, L'Aquila)
Christian Hainzl (LMU Munich)
Robert Seiringer (ISTA, Klosterneuburg)