We obtain exponential decay laws for solutions of density-matrix master equations in the weak-coupling limit: after comparing with results already present in the literature and developing the necessary techniques, we study the crucial aspect of complete positivity under fairly general conditions. We propose a time average that guarantees complete positivity and approximates, in Markovian fashion, the exact dynamics for a plethora of physical applications, no matter which are the spectral properties of the subsystem, or its dimensions. We shall comment on some interesting examples, such as a quantum version of the celebrated Fermi’s “golden rule” and some recently proposed entangling projections.
Completely positive Markovian quantum dynamics in the weak-coupling limit / Taj, D.; Rossi, Fausto. - In: PHYSICAL REVIEW A. - ISSN 1050-2947. - 78:5(2008), pp. 052113-1-052113-15. [10.1103/PhysRevA.78.052113]
Completely positive Markovian quantum dynamics in the weak-coupling limit
ROSSI, FAUSTO
2008
Abstract
We obtain exponential decay laws for solutions of density-matrix master equations in the weak-coupling limit: after comparing with results already present in the literature and developing the necessary techniques, we study the crucial aspect of complete positivity under fairly general conditions. We propose a time average that guarantees complete positivity and approximates, in Markovian fashion, the exact dynamics for a plethora of physical applications, no matter which are the spectral properties of the subsystem, or its dimensions. We shall comment on some interesting examples, such as a quantum version of the celebrated Fermi’s “golden rule” and some recently proposed entangling projections.File | Dimensione | Formato | |
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https://hdl.handle.net/11583/1857171
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