Name: Application of Quantic tensor train in solving Gross-Pitaevskii Equation, Prof. Chia-Min Chung [鍾佳民], NYCU
Start: 2026-03-03T13:30:00+08:00
End: 2026-03-03T15:00:00+08:00
Location: No location set

Description

Abstract:

In this talk, I will present a tensor network framework based on the Quantic Tensor Train (QTT) format to efficiently solve the Gross-Pitaevskii Equation. By adapting Time-Dependent Variational Principle (TDVP) and gradient descent to handle the GPE’s inherent nonlinearities, we achieve high-resolution simulations of BEC dynamics—such as vortex lattice formation—at a fraction of the traditional computational cost. We demonstrate that saturating bond dimensions allows for stable, long-time evolution, establishing QTT as a superior, scalable alternative to conventional grid-based methods for nonlinear quantum systems.