Time-dependent density-matrix renormalization group: A systematic method for the study of quantum many-body systems out-of-equilibrium
Mesoscale and Nanoscale Physics
2009-11-07 v3 Strongly Correlated Electrons
Abstract
The density-matrix renormalization-group (DMRG) algorithm is extended to treat time-dependent problems. The method provides a systematic and robust tool to explore out-of-equilibrium phenomena in quantum many-body systems. We illustrate the method by showing that attractive interactions enhance the tunneling current between two Luttinger liquids, whereas repulsive interactions suppress it, in qualitative agreement with analytical predictions. Enhancement of the transport current through a quantum dot in the Kondo regime is also exhibited.
Keywords
Cite
@article{arxiv.cond-mat/0109158,
title = {Time-dependent density-matrix renormalization group: A systematic method for the study of quantum many-body systems out-of-equilibrium},
author = {M. A. Cazalilla and J. B. Marston},
journal= {arXiv preprint arXiv:cond-mat/0109158},
year = {2009}
}
Comments
4 pages, 3 figures. Additional results, added clarifications, updated references