Time dynamics with matrix product states: Many-body localization transition of large systems revisited

@article{Chanda2020TimeDW,
title={Time dynamics with matrix product states: Many-body localization transition of large systems revisited},
author={T. Chanda and Piotr Sierant and J. Zakrzewski},
journal={Physical Review B},
year={2020},
volume={101},
pages={035148}
}

We compare accuracy of two prime time evolution algorithms involving Matrix Product States - tDMRG (time-dependent density matrix renormalization group) and TDVP (time-dependent variational principle). The latter is supposed to be superior within a limited and fixed auxiliary space dimension. Surprisingly, we find that the performance of algorithms depends on the model considered. In particular, many-body localized systems as well as the crossover regions between localized and delocalized… CONTINUE READING