Skip to content
DraconiticResearch
Search Sources API
201,683 studies31 sourcesUpdated 27 min ago
PreprintarXiv licencearXiv

Stability of attractive 3D Bose gases with repulsive three-body interactions

  • Arnaud Triay
  • François L. A. Visconti
Open at sourcePDFDOICite

Abstract

We consider three-dimensional Bose gases with attractive two-body interactions and repulsive three-body interactions. We prove the stability of the second kind of the system for a large class of interaction potentials and scaling regimes, which includes the Gross--Pitaevskii regime for the three-body potential. In addition, we even prove the classical stability of the system for a more restrictive class of interactions and scaling regimes. The main ingredient of the proof is a bound that was derived recently in a study by the authors on the dynamics of Bose gases with three-body interactions in the Gross--Pitaevskii regime (2026).

Related

  1. Homogeneous attractive Bose-Einstein condensates with repulsive three-body interactions: the two-dimensional case
    Dinh-Thi Nguyen
    arXivPreprintCC BY 4.0Full textMathematical physicsAtomic, molecular & optical physicsarXiv
  2. Homogeneous attractive Bose-Einstein condensates with repulsive three-body interactions: the one-dimensional case
    Dinh-Thi Nguyen
    arXivPreprintCC BY 4.0Full textMathematical physicsAtomic, molecular & optical physicsarXiv
  3. Local Density Approximation and Other Limit Regimes for a Homogeneous Bose Gas with Repulsive Three-Body Interactions in Low-Dimensional Space
    Thi Anh Thu Doan, Dinh-Thi Nguyen
    arXivPreprintCC BY 4.0Full textMathematical physicsAtomic, molecular & optical physicsarXiv
  4. Condensation and Collapse in the Mean-Field Limit of Rotating 2D Bose Gases with Two-Body and Three-Body Interactions
    Deke Li, Yuan Li, Qingxuan Wang
    arXivPreprintarXiv licenceFull textMathematical physicsarXiv
  5. Uniform many-particle spectral gap inequality and heat kernel bounds for strong attractive interactions
    S. E. Boutiah, D. Kinzebulatov, K. R. Madou
    arXivPreprintarXiv licenceFull textAnalysis & PDEsMathematical physicsarXiv

Cite

BibTeXRIS
BibTeX
@misc{triay2026stability,
  title = {{Stability of attractive 3D Bose gases with repulsive three-body interactions}},
  author = {Arnaud Triay and François L. A. Visconti},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.37565},
  eprint = {2610.37565},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.37565},
}
RIS
TY  - UNPB
TI  - Stability of attractive 3D Bose gases with repulsive three-body interactions
AU  - Arnaud Triay
AU  - François L. A. Visconti
PY  - 2026
DA  - 2026/10/27
PB  - arXiv
DO  - 10.48550/arxiv.2610.37565
UR  - https://arxiv.org/abs/2610.37565
AB  - We consider three-dimensional Bose gases with attractive two-body interactions and repulsive three-body interactions. We prove the stability of the second kind of the system for a large class of interaction potentials and scaling regimes, which includes the Gross--Pitaevskii regime for the three-body potential. In addition, we even prove the classical stability of the system for a more restrictive class of interactions and scaling regimes. The main ingredient of the proof is a bound that was derived recently in a study by the authors on the dynamics of Bose gases with three-body interactions in the Gross--Pitaevskii regime (2026).
ER  -