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Sixth-order factorization of the evolution operator for time-dependent potentials

par Goldstein, Gérald ;Baye, Daniel Jean
Référence Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), 70, 5, page (056703)
Publication Publié, 2004

Article révisé par les pairs

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Résumé :

The evolution operator of a quantum system in a time-dependent potential is factorized in unitary exponential operators at order 6. This expression is derived with the time-ordering method. It is compared with lower-order factorizations on several simple one-dimensional examples. Better accuracies are reached at sixth order for a given time step than at lower orders. Due to a significant increase of computation duration per time step, the sixth-order approximation is mainly useful when high accuracies are required. © 2004 The American Physical Society.