Density matrix renormalization group for a highly degenerate quantum system: Sliding environment block approach

TL;DR

This paper introduces a new infinite lattice DMRG sweeping method optimized for highly degenerate quantum systems, improving accuracy and performance over previous approaches.

Contribution

The paper proposes a novel sweeping scheme for infinite lattice DMRG that better handles degeneracy and commensurability issues, enhancing computational efficiency and accuracy.

Findings

Significant increase in accuracy for degenerate spin chains

Enhanced performance over existing DMRG methods

Effective treatment of commensurability issues

Abstract

We present an infinite lattice DMRG sweeping procedure which can be used as a replacement for the standard infinite lattice blocking schemes. Although the scheme is generally applicable to any system, its main advantages are the correct representation of commensurability issues and the treatment of degenerate systems. As an example we apply the method to a spin chain featuring a highly degenerate ground state space where the new sweeping scheme provides an increase in performance as well as accuracy by many orders of magnitude compared to a recently published work.