M. Rakhuba

Riemannian optimization on low-rank tensor train manifolds for the Gross-Pitaevskii equation

This work is concerned with the numerical computation of Gross-Pitaevskii ground states using the tensor train (TT) format. We regard the problem as the minimization of the Gross-Pitaevskii energy functional under a unit mass constraint, and propose a first-order Riemannian optimization scheme that preserves both the m...