Investigating ultrafast quantum magnetism with machine learning

Understand

We investigate the efficiency of the recently proposed Restricted Boltzmann Machine (RBM) representation of quantum many-body states to study both the static properties and quantum spin dynamics in the two-dimensional Heisenberg model on a square lattice.

• For static properties we find close agreement with numerically exact Quantum Monte Carlo results in the thermodynamical limit.
• For dynamics and small systems, we find excellent agreement with exact diagonalization, while for systems up to N=256 spins close consistency with interacting spin-wave theory is obtained.
• In all cases the accuracy converges fast with the number of network parameters, giving access to much bigger systems than feasible before.