A modified time-dependent perturbation approach to quantum dynamics and its application to relaxation phenomena in magnetic molecules

Dartora, C. A.; Cabrera, G. G.; Nobrega, K. Z.

doi:doi:10.1119/1.3133088

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American Journal of Physics -- August 2009 -- Volume 77, Issue 8, pp. 742

A modified time-dependent perturbation approach to quantum dynamics and its application to relaxation phenomena in magnetic molecules

C. A. Dartora¹, G. G. Cabrera², and K. Z. Nobrega³

¹Departamento de Engenharia Elétrica, Universidade Federal do Paraná (UFPR), Centro Politécnico, Jardim das Américas, 81531-990 Curitiba, Paraná, Brazil
²Instituto de Física Gleb Wataghin, Universidade Estadual de Campinas (UNICAMP), 13.083-970 Campinas, São Paolo, Brazil
³Departamento de Eletro-Eletrônica, Centro Federal de Educacão Tecnológica do Maranhão (CEFET-MA), Av. Getulio Vargas 04, 65025-001 São Luís, Maranhão, Brazil

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We introduce a modified version of the interaction picture applicable to situations in which the nonperturbed Hamiltonian is time-dependent but can be diagonalized by the same basis of states at all times. We probe the method using a simple model Hamiltonian to study the spin dynamics of molecular magnets with time-dependent fields. Fully quantum mechanical calculations show the superiority of our method compared to the usual time-dependent perturbation theory. Our approach takes into account time-dependent fields and converges rapidly to the exact solution.