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PreprintCC BY 4.0arXiv

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.

Versions

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Cite

BibTeXRIS
BibTeX
@misc{nguyen2026homogeneous,
  title = {{Homogeneous attractive Bose-Einstein condensates with repulsive three-body interactions: the two-dimensional case}},
  author = {Dinh-Thi Nguyen},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.29875},
  eprint = {2608.29875},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.29875},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Homogeneous attractive Bose-Einstein condensates with repulsive three-body interactions: the two-dimensional case
AU  - Dinh-Thi Nguyen
PY  - 2026
DA  - 2026/08/30
PB  - arXiv
DO  - 10.48550/arxiv.2608.29875
UR  - https://arxiv.org/abs/2608.29875
AB  - 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.
ER  -