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arXiv · 2608.29874

Homogeneous attractive Bose-Einstein condensates with repulsive three-body interactions: the one-dimensional case

Dinh-Thi Nguyen
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Abstract

We investigate the behavior of a homogeneous one-dimensional Bose gas composed of $N$ identical bosons experiencing attractive two-body and repulsive three-body interactions. Utilizing intermediate Hartree theory, we rigorously derive the homogeneous cubic-quintic nonlinear Schr\"odinger functional as the mean-field limit of the many-body Hamiltonian. Particular attention is given to the impact of the repulsive three-body term on ground state energy estimates and mass concentration properties

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Dinh-Thi Nguyen. 2026-08-30. Homogeneous attractive Bose-Einstein condensates with repulsive three-body interactions: the one-dimensional case. https://arxiv.org/abs/2608.29874

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