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Phenomenological memory kernel master equations without memory | | L. Mazzola
; E.-M. Laine
; H.-P. Breuer
; S. Maniscalco
; J. Piilo
; | | Date: |
19 Mar 2010 | | Abstract: | Do phenomenological master equations with memory kernel always describe a
non-Markovian quantum dynamics which is influenced by memory e effects? Is the
integration over the past states of the system an unmistakable signature of
non-Markovianity? We show by a counterexample that this is not always the case.
We consider two commonly used phenomenological integro-di fferential master
equations describing the dynamics of a spin 1/2 in a thermal bath. By using a
recently introduced measure to quantify non-Markovianity (H.P. Breuer, E.M.
Laine, and J. Piilo, Phys. Rev. Lett. (2009)) we demonstrate that as far as the
equations retain their physical sense, the key feature of non-Markovian
behavior does not appear in the considered memory kernel master equations.
Namely, there is no reverse flow of information from the environment to the
open system. Therefore, the assumption that the integration over a memory
kernel always leads to a non-Markovian dynamics turns out to be vulnerable to
phenomenological approximations. | | Source: | arXiv, 1003.3817 | | Services: | Forum | Review | PDF | Favorites | |
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