Výsledky vyhledávání - "YADAV, MAHIMA"

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Riemannian conjugate Sobolev gradients and their application to compute ground states of BECs

Autor: Ai, Yueshan, Henning, Patrick, Yadav, Mahima, Yuan, Sitong

This work considers the numerical computation of ground states of rotating Bose-Einstein condensates (BECs) which can exhibit a multiscale lattice of quantized vortices. This problem involves the minimization of an energy functional on a Riemannian m

Externí odkaz: http://arxiv.org/abs/2409.17302

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Convergence of a Riemannian gradient method for the Gross-Pitaevskii energy functional in a rotating frame

Autor: Henning, Patrick, Yadav, Mahima

This paper investigates the numerical approximation of ground states of rotating Bose-Einstein condensates. This problem requires the minimization of the Gross-Pitaevskii energy $E$ on a Hilbert manifold $\mathbb{S}$. To find a corresponding minimize

Externí odkaz: http://arxiv.org/abs/2406.03885

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On discrete ground states of rotating Bose-Einstein condensates

Autor: Henning, Patrick, Yadav, Mahima

The ground states of Bose-Einstein condensates in a rotating frame can be described as constrained minimizers of the Gross-Pitaevskii energy functional with an angular momentum term. In this paper we consider the corresponding discrete minimization p

Externí odkaz: http://arxiv.org/abs/2303.00402

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