National Center for Theoretical Sciences

Solving the Gross-Pitaevskii equation with quantic tensor trains: Ground states and nonlinear dynamics

We develop a tensor network framework based on the quantic tensor train (QTT) format to efficiently solve the Gross-Pitaevskii equation (GPE), which governs Bose-Einstein condensates under mean-field theory. For sufficiently regular functions, the QTT approach enables exponential...