Solving the Gross-Pitaevskii Equation with Quantic Tensor Trains: Ground States and Nonlinear Dynamics
This paper introduces a quantic tensor train (QTT) framework that efficiently solves the Gross-Pitaevskii equation for Bose-Einstein condensates by adapting variational and gradient descent methods, achieving high-resolution simulations of ground states and nonlinear dynamics with significantly reduced computational costs compared to conventional grid-based approaches.