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

2025/06/04 by Brooks, Morris, Oldenburg, Jakob, Aubin, Diane Saint +1 · 2 citations
#FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2506.04153

Abstract

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.

Citations

• Bogoliubov Theory in the Gross-Pitaevskii Limit: a Simplified Approach
• The energy of dilute Bose gases II: The general case
• Bogoliubov excitation spectrum of trapped Bose gases in the Gross-Pitaevskii regime
• A new second order upper bound for the ground state energy of dilute\n Bose gases
• The energy of dilute Bose gases

Cited by

• Equilibrium states for non relativistic Bose gases with condensation
• Ground State Energy of Dilute Fermi Gases in 1D

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