Vanishing of the negative-sign problem of quantum Monte Carlo simulations in one-dimensional frustrated spin systems

TL;DR

This paper presents a method to eliminate the negative-sign problem in quantum Monte Carlo simulations of one-dimensional frustrated spin systems by using a dimer basis with spin-reversal symmetry, validated on a specific model.

Contribution

The authors introduce a dimer basis approach that removes the negative signs in local Boltzmann weights for certain frustrated spin systems, enabling more efficient simulations.

Findings

Negative signs vanish for J_0 + J_1 ≤ J_3 in the tested model

The method is validated on the J_0-J_1-J_2-J_3 model

The approach improves the feasibility of quantum Monte Carlo simulations in these systems

Abstract

The negative-sign problem in one-dimensional frustrated quantum spin systems is solved. We can remove negative signs of the local Boltzmann weights by using a dimer basis that has the spin-reversal symmetry. Validity of this new basis is checked in a general frustrated double-spin-chain system, namely the J_0-J_1-J_2-J_3 model. The negative sign vanishes perfectly for $J_0 + J_1 \leq J_3$.