Simulating two- and three-dimensional frustrated quantum systems with string-bond states

TL;DR

This paper demonstrates that String-Bond States, a hybrid tensor network and Monte Carlo method, effectively simulate frustrated quantum magnets in two and three dimensions, including systems with periodic boundaries.

Contribution

The authors extend the application of String-Bond States to simulate frustrated quantum systems in higher dimensions with periodic boundaries, showing its versatility and effectiveness.

Findings

Successful simulation of frustrated quantum magnets in 2D and 3D.

Comparable results with existing methods for unfrustrated systems.

Effective handling of periodic boundary conditions in complex systems.

Abstract

Simulating frustrated quantum magnets is among the most challenging tasks in computational physics. We apply String-Bond States, a recently introduced ansatz which combines Tensor Networks with Monte Carlo based methods, to the simulation of frustrated quantum systems in both two and three dimensions. We compare our results with existing results for unfrustrated and two-dimensional systems with open boundary conditions, and demonstrate that the method applies equally well to the simulation of frustrated systems with periodic boundaries in both two and three dimensions.