Ground state of Bose gases interacting through singular potentials

2023/09/21 by Lea Boßmann, Nikolai Leopold, Boßmann, Lea +5
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum chaos and dynamical systems #Quantum, superfluid, helium dynamics

paper · pdf · doi:10.48550/arxiv.2309.12233

openalex publication_date 2023/09/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/03

Abstract

We consider a system of N bosons on the three-dimensional unit torus. The particles interact through repulsive pair interactions of the form N^3β-1 v (N^βx) for β∈ (0,1). We prove the next order correction to Bogoliubov theory for the ground state and the ground state energy.

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