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Phan Thanh, Nam; Rougerie, Nicolas (2020): Improved stability for 2D attractive Bose gases. In: Journal of Mathematical Physics, Vol. 61, No. 2, 021901
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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 Schrodinger (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. Published under license by AIP Publishing.