Time Evolution with the DMRG Algorithm: A Generic Implementation for Strongly Correlated Electronic Systems

TL;DR

This paper presents a detailed implementation of a time evolution method within the DMRG algorithm, demonstrating its application to strongly correlated electronic systems with analysis of accuracy, performance, and open-source code.

Contribution

It introduces a generic, detailed implementation of the time-step-targeting DMRG method for strongly correlated systems, including practical application and performance discussion.

Findings

Effective in modeling Hubbard and ladder systems

Accurately captures holon-doublon excitations in Mott insulators

Provides open-source code for community use

Abstract

A detailed description of the time-step-targetting time evolution method within the DMRG algorithm is presented. The focus of this publication is on the implementation of the algorithm, and on its generic application. The case of one-site excitations within a Hubbard model is analyzed as a test for the algorithm, using open chains and two-leg ladder geometries. The accuracy of the procedure in the case of the recently discussed holon-doublon photo excitations of Mott insulators is also analyzed. Performance and parallelization issues are discussed. In addition, the full open-source code is provided as supplementary material.