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arXiv:1903.09268 · Journal of Mathematical Physics

Ground state energy of a dilute two-dimensional Bose gas from the Bogoliubov free energy functional

Søren Fournais, Marcin Napiórkowski, Robin Reuvers, Jan Philip Solovej

Published Jul 1, 2019• 16 citations
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Abstract

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.
DOI
10.1063/1.5096987

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