Time evolution of one-dimensional Quantum Many Body Systems

Details Time evolution of one-dimensional Quantum Many Body Systems Time evolution of one-dimensional Quantum Many Body Systems

2005-02-16

arxiv.org/abs/cond-mat/0502396v1

AIP Conf. Proc. 789, 269-278 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

Contribution for the conference proceedings of the "IX. Training Course in the Physics of Correlated Electron Systems and High

Scientific paper

10.1063/1.2080353

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.

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