Spacetime Neural Network for High Dimensional Quantum Dynamics
Disordered Systems and Neural Networks
2021-08-05 v1 Machine Learning
Computational Physics
Quantum Physics
Abstract
We develop a spacetime neural network method with second order optimization for solving quantum dynamics from the high dimensional Schr\"{o}dinger equation. In contrast to the standard iterative first order optimization and the time-dependent variational principle, our approach utilizes the implicit mid-point method and generates the solution for all spatial and temporal values simultaneously after optimization. We demonstrate the method in the Schr\"{o}dinger equation with a self-normalized autoregressive spacetime neural network construction. Future explorations for solving different high dimensional differential equations are discussed.
Keywords
Cite
@article{arxiv.2108.02200,
title = {Spacetime Neural Network for High Dimensional Quantum Dynamics},
author = {Jiangran Wang and Zhuo Chen and Di Luo and Zhizhen Zhao and Vera Mikyoung Hur and Bryan K. Clark},
journal= {arXiv preprint arXiv:2108.02200},
year = {2021}
}