3 papers
math-ph2026
A second order upper bound to the free energy of the two dimensional Bose gas
Florian Haberberger, Lukas Junge
We consider a two-dimensional Bose gas in the dilute regime where is small. For temperatures below the Berezinskii-Kosterlitz-Thouless critical temperature, we derive an exp…
math-ph2024
Upper Bound for the Free Energy of Dilute Bose Gases at Low Temperature
Florian Haberberger, Christian Hainzl, Benjamin Schlein +1
We consider a Bose gas at density , interacting through a repulsive potential with scattering length . We prove an upper bound fo…
math-ph2023
The free energy of dilute Bose gases at low temperatures
Florian Haberberger, Christian Hainzl, Phan Thành Nam +2
We consider a low density Bose gas interacting through a repulsive potential in the thermodynamic limit. We justify, as a rigorous lower bound, a Lee--Huang--Yang type formula for…