A Chebychev propagator with iterative time ordering for explicitly time-dependent Hamiltonians
Quantum Physics
2010-09-21 v1
Abstract
A propagation method for time-dependent Schr\"odinger equations with an explicitly time-dependent Hamiltonian is developed where time ordering is achieved iteratively. The explicit time-dependence of the time-dependent Schr\"odinger equation is rewritten as an inhomogeneous term. At each step of the iteration, the resulting inhomogeneous Schr\"odinger equation is solved with the Chebychev propagation scheme presented in J. Chem. Phys. 130, 124108 (2009). The iteratively time-ordering Chebychev propagator is shown to be robust, efficient and accurate and compares very favorably to all other available propagation schemes.
Keywords
Cite
@article{arxiv.0912.3363,
title = {A Chebychev propagator with iterative time ordering for explicitly time-dependent Hamiltonians},
author = {Mamadou Ndong and Hillel Tal-Ezer and Ronnie Kosloff and Christiane P. Koch},
journal= {arXiv preprint arXiv:0912.3363},
year = {2010}
}