Two-term expansion of the ground state one-body density matrix of a mean-field Bose gas

Abstract

We consider the homogeneous Bose gas on a unit torus in the mean-field regime when the interaction strength is proportional to the inverse of the particle number. In the limit when the number of particles becomes large, we derive a two-term expansion of the one-body density matrix of the ground state. The proof is based on a cubic correction to Bogoliubov's approximation of the ground state energy and the ground state.

30 pages, revised version, to appear in Calc. Var. PDE

References in corpus (3)

• The Second Order Upper Bound for the Ground Energy of a Bose Gas
• Bose-Einstein Condensation Beyond the Gross-Pitaevskii Regime
• Asymptotic expansion of low-energy excitations for weakly interacting bosons

Cited by in corpus (1)

• Asymptotic expansion of low-energy excitations for weakly interacting bosons