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

Nguyen, Dinh-Thi
arXiv (OAI Expanded) · Papers
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35q55mathematical-physicsquantum-gases
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
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