2008/11/13 by David Taj, Fausto Rossi
Computer Science · Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Coupling (piping) #Dynamics (music) #Limit (mathematics) #Markov process #Materials science #Mathematical analysis #Mathematics #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum dynamics #Quantum mechanics #Statistical physics #Statistics #cond-mat.mes-hall #quant-ph
paper · pdf · doi:10.1103/physreva.78.052113
published as Phys. Rev. A 78, 052113 (2008) · 16 pages, 0 figures
openalex publication_date 2008/11/13 · arxiv created 2009/05/07 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.