Bogoliubov Theory for Trapped Bosons in the Gross-Pitaevskii Regime

2021/08/25 by Christian Brennecke, Brennecke, Christian, Benjamin Schlein +3 · 1 citation
Physics and Astronomy · #81Q10 #82B10 #Analysis of PDEs (math.AP) #Cold Atom Physics and Bose-Einstein Condensates #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum and electron transport phenomena #Quantum, superfluid, helium dynamics

paper · pdf · doi:10.48550/arxiv.2108.11129

openalex publication_date 2021/08/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider systems of N bosons in ℝ³, trapped by an external potential. The interaction is repulsive and has a scattering length of the order N^-1 (Gross-Pitaevskii regime). We determine the ground state energy and the low-energy excitation spectrum up to errors that vanish in the limit N→ ∞.

Cited by

• Cumulant expansions of operator groups of quantum many-particle systems

Related

• Bogoliubov Theory in the Gross-Pitaevskii Limit
• Bogoliubov excitation spectrum of trapped Bose gases in the Gross-Pitaevskii regime
• Bogoliubov spectrum of interacting Bose gases
• Derivation of the dipolar Gross-Pitaevskii energy
• Bogoliubov excitation spectrum for Bose-Einstein condensates