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

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.

RevTeX4, 9 pages, 5 figures

References in corpus (12)

• Real time evolution using the density matrix renormalization group
• New Trends in Density Matrix Renormalization
• Time-step targetting methods for real-time dynamics using DMRG
• Real-time simulations of nonequilibrium transport in the single-impurity Anderson model
• Spin-charge separation in cold Fermi-gases: a real time analysis
• Non-equilibrium electronic transport in a one-dimensional Mott insulator
• Quantum distillation: dynamical generation of low-entropy states of strongly correlated fermions in an optical lattice
• Time evolution of one-dimensional Quantum Many Body Systems
• Excitons in the One-Dimensional Hubbard Model: a Real-Time Study
• Many-body electronic structure and Kondo properties of cobalt-porphyrin molecules
• Real-time dynamics of particle-hole excitations in Mott insulator-metal junctions
• Improved parallelization techniques for the density matrix renormalization group

Cited by in corpus (14)

• Spectral Functions with the Density Matrix Renormalization Group: Krylov-space Approach for Correction Vectors
• Theoretical description of high-order harmonic generation in solids
• Symmetry Conserving Purification of Quantum States within the Density Matrix Renormalization Group
• Anyon dynamics in field-driven phases of the anisotropic Kitaev model
• Tensor networks for quantum computing
• Wave packet dynamics in the one-dimensional extended Hubbard model
• Dynamics of doublon-holon pairs in Hubbard two-leg ladders
• Production of minimally entangled typical thermal states with the Krylov-space approach
• Spin Andreev-like reflection in metal-Mott insulator heterostructures
• Excitonic wave-packet evolution in a two-orbital Hubbard model chain: A real-time real-space study
• Resonant inelastic x-ray scattering spectra of spinon, doublon, and quarton excitations of a spin-$\frac{1}{2}$ antiferromagnetic Heisenberg trimer chain
• The Software Landscape for the Density Matrix Renormalization Group
• Rectification by Doped Mott-Insulator Junctions
• Imaginary-time nonuniform mesh method for solving the multidimensional Schrodinger equation: Fermionization and melting of quantum Lennard-Jones crystals