Bibcode
Esposito, Massimiliano; Gaspard, Pierre
Referencia bibliográfica
eprint arXiv:cond-mat/0308144
Advertised on:
8
2003
Número de citas
0
Número de citas referidas
0
Descripción
We derive a new perturbative quantum master equation for the reduced
density matrix of a system interacting with an environment (with a dense
spectrum of energy levels). The total system energy (system plus
environment) is constant and finite. This equation takes into account
the finite energy effects of the environment due to the total energy
conservation. This equation is more general than the common perturbative
equations used for describing a system in interaction with an
environment (like the Redfield equation or the Cohen-Tannoudji one)
because these last equations can be deduced from it in the limit of an
infinitely large environment. We apply numerically this equation to the
spin-GORM model. This model represents the interaction of a two-level
system with an environment described by random matrices. We compare our
equation with the exact von Neumann equation of the total system and
show its superiority compared to the Redfield equation (in the Markovian
and non-Markovian cases).