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Time evolution of one-dimensional Quantum Many Body Systems

Salvatore R. Manmana·Alejandro Muramatsu·Reinhard M. Noack
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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.

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Salvatore R. Manmana, Alejandro Muramatsu, Reinhard M. Noack. 2005-02-16. Time evolution of one-dimensional Quantum Many Body Systems. https://doi.org/10.1063/1.2080353

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