4 papers
Structure and symmetry of the Gross-Pitaevskii ground-state manifold
Zixu Feng, Patrick Henning, Qinglin Tang
The structure and degeneracy of ground states of the Gross-Pitaevskii energy functional play a central role in both analysis and computation, yet a precise characterization of the…
Convergence analysis of Sobolev Gradient flows for the rotating Gross-Pitaevskii energy functional
Chen Zhang, Patrick Henning, Mahima Yadav +1
This paper studies the numerical approximation of the ground state of rotating Bose--Einstein condensates, formulated as the minimization of the Gross--Pitaevskii energy functional…
Riemannian conjugate Sobolev gradients and their application to compute ground states of BECs
Yueshan Ai, Patrick Henning, Mahima Yadav +1
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 probl…
Convergence of a Riemannian gradient method for the Gross-Pitaevskii energy functional in a rotating frame
Patrick Henning, Mahima Yadav
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…