Work

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

Year: 2026

Type: preprint

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

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2608.29874

Author: Nguyen, Dinh-Thi

Institutions: Vietnam National University Ho Chi Minh City, Ho Chi Minh City University of Science

Language: English

Topic: Advanced Mathematical Physics Problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7204898611

Cites: 1

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Related to: 10