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arXiv · 2608.29875

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

Dinh-Thi Nguyen
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Abstract

We consider a homogeneous Bose gas composed of $N$ identical bosons occupying an infinite two-dimensional space. This gas exhibits both an attractive two-body interaction and a repulsive three-body interaction. Via the intermediate Hartree theory, we rigorously derive the homogeneous cubic-quintic nonlinear Schroedinger functional as the mean-field limit of the model. Our investigation focuses on the system's behavior in relation to the two-body interaction.

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Dinh-Thi Nguyen. 2026-08-30. Homogeneous attractive Bose-Einstein condensates with repulsive three-body interactions: the two-dimensional case. https://doi.org/10.1007/s00209-026-04087-4

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