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Journal Articles Journal of Mathematical Physics Year : 2020

Improved stability for 2D attractive Bose gases

Abstract

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.
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Dates and versions

hal-02291672 , version 1 (19-09-2019)
hal-02291672 , version 2 (20-01-2020)

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Phan Thành Nam, Nicolas Rougerie. Improved stability for 2D attractive Bose gases. Journal of Mathematical Physics, 2020, 61, pp.021901. ⟨hal-02291672v2⟩
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