Ground state energy of Bogoliubov energy functional in the high density limit

Abstract

We consider the Bogoliubov energy functional proposed by Napiórkowski, Reuvers and Solovej and analize it in the high density regime. We derive a two term asymptotic expansion of the ground state energy.

arXiv comment11 pages, updated version with fixed typos and some additional comments

References in corpus (11)

• Excitation spectrum of interacting bosons in the mean-field infinite-volume limit
• The Bogoliubov free energy functional II. The dilute limit
• The Bogoliubov free energy functional I. Existence of minimizers and phase diagram
• Ground state energy of a dilute two-dimensional Bose gas from the Bogoliubov free energy functional
• A simplified approach to the repulsive Bose gas from low to high densities and its numerical accuracy
• Analysis of a simple equation for the ground state energy of the Bose gas
• The free energy of dilute Bose gases at low temperatures
• Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation
• Upper bound for the ground state energy of a dilute Bose gas of hard spheres
• On Ground States of the Bogoliubov Energy Functional: A Direct Proof
• Review of a Simplified Approach to study the Bose gas at all densities