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arXiv · 2503.08450

A hybrid method integrating Green's function Monte Carlo and projected entangled pair states

He-Yu Lin·Rong-Qiang He·Yibin Guo·Zhong-Yi Lu
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Abstract

This paper introduces a hybrid approach combining Green's function Monte Carlo (GFMC) method with projected entangled pair state (PEPS) ansatz. This hybrid method regards PEPS as a trial state and a guiding wave function in GFMC. By leveraging PEPS's proficiency in capturing quantum state entanglement and GFMC's efficient parallel architecture, the hybrid method is well-suited for the accurate and efficient treatment of frustrated quantum spin systems. As a benchmark, we applied this approach to study the frustrated $J_1$-$J_2$ Heisenberg model on a square lattice with periodic boundary conditions (PBC). Compared with other numerical methods, our approach integrating PEPS and GFMC shows competitive accuracy in the performance of ground-state energy. This paper provides systematic and comprehensive discussion of the approach of our previous work.

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He-Yu Lin, Rong-Qiang He, Yibin Guo, Zhong-Yi Lu. 2025-03-11. A hybrid method integrating Green's function Monte Carlo and projected entangled pair states. https://doi.org/10.1088/1674-1056%2Fad84c9

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