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PreprintCC BY 4.0arXiv

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 Schrödinger 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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Cite

BibTeXRIS
BibTeX
@misc{nguyen2026homogeneous,
  title = {{Homogeneous attractive Bose-Einstein condensates with repulsive three-body interactions: the one-dimensional case}},
  author = {Dinh-Thi Nguyen},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.29874},
  eprint = {2608.29874},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.29874},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Homogeneous attractive Bose-Einstein condensates with repulsive three-body interactions: the one-dimensional case
AU  - Dinh-Thi Nguyen
PY  - 2026
DA  - 2026/08/30
PB  - arXiv
DO  - 10.48550/arxiv.2608.29874
UR  - https://arxiv.org/abs/2608.29874
AB  - 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 Schrödinger 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
ER  -