Simulating dynamics of correlated matter with neural quantum states

TL;DR

This paper reviews recent progress in using neural quantum states to simulate the dynamics of correlated quantum matter, highlighting methods, applications, and challenges in modeling non-equilibrium systems.

Contribution

It provides a comprehensive overview of neural quantum states for time evolution, emphasizing recent developments and current challenges in the field.

Findings

Neural quantum states enable simulation of complex quantum dynamics.

Various time propagation methods have been developed for neural quantum states.

The review identifies key challenges and future directions in simulating non-equilibrium quantum systems.

Abstract

While experimental advancements continue to expand the capabilities to control and probe non-equilibrium quantum matter at an unprecedented level, the numerical simulation of the dynamics of correlated quantum systems remains a pivotal challenge - especially in intermediate spatial dimensions. Neural quantum states are emerging as a new computational tool to investigate the time evolution of many-body quantum systems in previously inaccessible regimes. We review the recent progress in the field with a focus on the different time propagation methods, an overview of the reported applications, and a discussion of the major current challenges.