Time evolution of one-dimensional Quantum Many Body Systems
Abstract
The level of current understanding of the physics of time-dependent strongly correlated quantum systems is far from complete, principally due to the lack of effective controlled approaches. Recently, there has been progress in the development of approaches for one-dimensional systems. We describe recent developments in the construction of numerical schemes for general (one-dimensional) Hamiltonians: in particular, schemes based on exact diagonalization techniques and on the density matrix renormalization group method (DMRG). We present preliminary results for spinless fermions with nearest-neighbor-interaction and investigate their accuracy by comparing with exact results.
Keywords
Cite
@article{arxiv.cond-mat/0502396,
title = {Time evolution of one-dimensional Quantum Many Body Systems},
author = {Salvatore R. Manmana and Alejandro Muramatsu and Reinhard M. Noack},
journal= {arXiv preprint arXiv:cond-mat/0502396},
year = {2007}
}
Comments
Contribution for the conference proceedings of the "IX. Training Course in the Physics of Correlated Electron Systems and High-Tc Superconductors" held in Vietri sul Mare (Salerno, Italy) in October 2004