Flavor-twisted boundary condition for simulations of quantum many-body systems

TL;DR

This paper introduces a novel approximation method using flavor-twisted boundary conditions to efficiently simulate quantum many-body systems, enabling rapid ground-state energy calculations with reduced computational complexity.

Contribution

The paper proposes a new coarse-graining approach with flavor-twisted boundary conditions that simplifies simulations of quantum many-body systems, demonstrated on a spin-1/2 antiferromagnet.

Findings

Accurate ground-state energy computation with only two sites.

Rapid convergence of the method across dimensions.

Potential applicability to various strongly correlated systems.

Abstract

We present an approximative simulation method for quantum many-body systems based on coarse graining the space of the momentum transferred between interacting particles, which leads to effective Hamiltonians of reduced size with the flavor-twisted boundary condition. A rapid, accurate, and fast convergent computation of the ground-state energy is demonstrated on the spin-1/2 quantum antiferromagnet of any dimension by employing only two sites. The method is expected to be useful for future simulations and quick estimates on other strongly correlated systems.