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<p>We consider a homogeneous Bose gas composed of <i>N</i> 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 Schrödinger functional as the mean-field limit of the model. Our investigation focuses on the system’s behavior in relation to the two-body interaction.</p>

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

  • 期刊论文

  • 发表日期：

    2026年7月30日

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  • Dinh-Thi Nguyen

摘要

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 Schrödinger functional as the mean-field limit of the model. Our investigation focuses on the system’s behavior in relation to the two-body interaction.