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Self‐energy fields solutions to the generalized reduced Liouville equation in the perturbative approach
Author(s) -
Bochicchio Roberto C.,
Grinberg Horacio
Publication year - 2000
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/1097-461x(2000)79:5<280::aid-qua3>3.0.co;2-w
Subject(s) - density matrix , mathematical physics , hamiltonian (control theory) , perturbation (astronomy) , physics , decoupling (probability) , operator (biology) , perturbation theory (quantum mechanics) , lindblad equation , propagator , statistical physics , formalism (music) , quantum , quantum mechanics , mathematics , master equation , chemistry , mathematical optimization , biochemistry , repressor , control engineering , transcription factor , engineering , gene , art , musical , visual arts
A direct approach for the generalized reduced Liouville equation of motion decoupling problem associated with open quantum systems within the superoperator formalism is presented. The procedure is based on inversion of the perturbation series for the energy representation of the density operator so as to obtain one for the proper self‐energy fields that emerge as a consequence of the analytic character of the associated spectral representation. Thus, the perturbation series that arises from the iteration of the energy‐dependent matrix elements hierarchy involved in the statistical operator allows, upon further expansion of the inverse of such series, to get formally exact expressions for the corrections to all orders of the self‐energy fields. The lower order corrections of these fields are discussed in terms of resonant and nonresonant contributions. The present approach provides matrix equations that show the close relation between the environment effects represented by the self‐energy fields and the relaxation kernel that drives the system–reservoir interaction. © 2000 John Wiley & Sons, Inc. Int J Quant Chem 79: 280–290, 2000