We extend the analysis of the Bogoliubov free energy functional to two dimensions at very low temperatures. For sufficiently weak interactions, we prove two term asymptotics for the ground state energy. Published under license by AIP Publishing.
Fournais, S., Napiórkowski, M., Reuvers, R.J.P., Philip Solovej, J. (2019). Ground state energy of a dilute two-dimensional Bose gas from the Bogoliubov free energy functional. JOURNAL OF MATHEMATICAL PHYSICS, 60(7), 071903 [10.1063/1.5096987].