Abstract

We present a universal, parameter-free quantum Monte Carlo algorithm designed to simulate arbitrary high-spin (greater than spin-1/2) Hamiltonians. This method is based on the recently introduced Permutation Matrix Representation Quantum Monte Carlo (PMR-QMC) framework, which allows for the general treatment of entire classes of Hamiltonians, eliminating the need for system-specific update rules [1, 2].Additionally, we introduce a PMR-QMC algorithm for simulating arbitrary fermionic systems, such as the Fermi-Hubbard model on arbitrary graphs and electronic structure problems. We also examine the sign problem.To demonstrate the applicability and versatility of our approach, we present simulation results for the spin-1 quantum Heisenberg model, Fermi-Hubbard models on two-dimensional lattices, and electronic structure problems.

Date

March 17, 2025

Authors

Lev Y Barash, Arman Babakhani, Itay Hen

Conference

SMT 2025