Quantum Corner-Transfer Matrix DMRG

TL;DR

This paper introduces a novel quantum corner-transfer matrix DMRG method that enhances the calculation of thermodynamic properties in one-dimensional quantum systems, demonstrating advantages over traditional TMRG in classical cases.

Contribution

The paper develops a new QCTMRG algorithm combining corner transfer-matrix and DMRG techniques for quantum systems, with implementation and testing on classical Ising and Heisenberg models.

Findings

QCTMRG shows advantages over TMRG for classical systems.

Successfully applied to Ising and Heisenberg models.

Discusses benefits and challenges of the new method.

Abstract

We propose a new method for the calculation of thermodynamic properties of one-dimensional quantum systems by combining the TMRG approach with the corner transfer-matrix method. The corner transfer-matrix DMRG method brings reasonable advantage over TMRG for classical systems. We have modified the concept for the calculation of thermal properties of one-dimensional quantum systems. The novel QCTMRG algorithm is implemented and used to study two simple test cases, the classical Ising chain and the isotropic Heisenberg model. In a discussion, the advantages and challenges are illuminated.