Spherical-harmonics expansion method for density-matrix simulations of quantum electron dynamics in continuum statesSpherical-harmonics expansion method for density-matrix simulations of quantum electron dynamics in continuum statesAA00680884
Article first published online: 10 AUG 2015 Spherical-harmonics expansion method is proposed to solve the quantum time-evolution equations for density matrices numerically in momentum space. This method facilitates efficient real-time simulations of quantum electron dynamics in continuum states through extension of our previous formalism developed for discrete states. Numerical accuracy and efficiency are demonstrated through two examples: (i) multiphoton ionization of a one-electron atom in intense laser field, and (ii) real-time dynamics of plasma oscillations in electron liquids. In case (i), coupled dynamics of density matrices for bound and continuum states reveals an enhancement of multiphoton ionization over the Keldysh approximation through resonant intermediate states.
quantum electron dynamics density matrix spherical-harmonics expansion multiphoton ionization plasma oscillation
This is the peer reviewed version of the following article: Hikaru Kitamura. Spherical-harmonics expansion method for density-matrix simulations of quantum electron dynamics in continuum states. nternational Journal of Quantum Chemistry Volume 115, Issue 22, pages 1587?1596, which has been published in final form at http://dx.doi.org/10.1002/qua.24988. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving. This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。