Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas

Morris Brooks, Jakob Oldenburg, Diane Saint Aubin, Benjamin Schlein

4/6/25 Published in : arXiv:2506.04153

We consider a dilute Bose gas in the thermodynamic limit. We prove an upper bound for the ground state energy per unit volume, capturing the expected third order term, as predicted by Wu, Hugenholtz-Pines and Sawada.

Entire article

Phase I & II research project(s)

Quantum Systems

Phase III direction(s)

Differential equations of Mathematical Physics
Quantum information and many body theory

On the open TS/ST correspondence

Equidistribution, covering radius, and Diophantine approximation for rational points on the sphere