Generative Neural Samplers for the Quantum Heisenberg Chain
Statistical Mechanics
2021-06-16 v1 Machine Learning
Machine Learning
Abstract
Generative neural samplers offer a complementary approach to Monte Carlo methods for problems in statistical physics and quantum field theory. This work tests the ability of generative neural samplers to estimate observables for real-world low-dimensional spin systems. It maps out how autoregressive models can sample configurations of a quantum Heisenberg chain via a classical approximation based on the Suzuki-Trotter transformation. We present results for energy, specific heat and susceptibility for the isotropic XXX and the anisotropic XY chain that are in good agreement with Monte Carlo results within the same approximation scheme.
Cite
@article{arxiv.2012.10264,
title = {Generative Neural Samplers for the Quantum Heisenberg Chain},
author = {Johanna Vielhaben and Nils Strodthoff},
journal= {arXiv preprint arXiv:2012.10264},
year = {2021}
}
Comments
10 figures