Improved stability for 2D attractive Bose gases

We study the ground-state energy of N attractive bosons in the plane. The interaction is scaled for the gas to be dilute so that the corresponding mean-field problem is a local non-linear Schrödinger (NLS) equation. We improve the conditions under which one can prove that the many-body problem is st...

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Bibliographic Details
Published in:Journal of mathematical physics 2020-02, Vol.61 (2)
Main Authors: Nam, Phan Thành, Rougerie, Nicolas
Format: Article
Language:English
Subjects:
Analysis of PDEs
Bosons
Dilution
Mathematical Physics
Mathematics
Physics
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Summary:We study the ground-state energy of N attractive bosons in the plane. The interaction is scaled for the gas to be dilute so that the corresponding mean-field problem is a local non-linear Schrödinger (NLS) equation. We improve the conditions under which one can prove that the many-body problem is stable (of the second kind). This implies, using previous results, that the many-body ground states and dynamics converge to the NLS ones for an extended range of diluteness parameters.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.5131320