Electron-light interaction in nonequilibrium: exact diagonalization for time-dependent Hubbard Hamiltonians

@article{Innerberger2020ElectronlightII,
  title={Electron-light interaction in nonequilibrium: exact diagonalization for time-dependent Hubbard Hamiltonians},
  author={M. Innerberger and P. Worm and Paul Prauhart and A. Kauch},
  journal={European Physical Journal plus},
  year={2020},
  volume={135}
}
We present a straightforward implementation scheme for solving the time-dependent Schrödinger equation for systems described by the Hubbard Hamiltonian with time-dependent hoppings. The computations can be performed for clusters of up to 14 sites with, in principle, general geometry. For the time evolution, we use the exponential midpoint rule, where the exponentials are computed via a Krylov subspace method, which only uses matrix-vector multiplication. The presented implementation uses… Expand

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