2010/07/31 by A. K. Rajagopal, A K Rajagopal, A. R. Usha Devi +3
Computer Science · Mathematics · Physics and Astronomy · #Computer science #Density matrix #Fidelity #Markov process #Markovian arrival process #Mathematics #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Representation (politics) #Spectroscopy and Quantum Chemical Studies #Statistical physics #Statistics #Time evolution #quant-ph
paper · pdf · doi:10.1103/physreva.82.042107
published as Phys. Rev. A 82, 042107 (2010) · 7 pages, 5 eps figures; Discussion on recent characterizations of non-Markovianity included in this version
openalex publication_date 2010/10/12 · arxiv created 2010/10/27 · arxiv updated 2010/10/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
It is shown that the fidelity of the dynamically evolved system with its earlier time-density matrix provides a signature of non-Markovian dynamics. Also, the fidelity associated with the initial state and the dynamically evolved state is shown to be larger in the non-Markovian evolution compared to that in the corresponding Markovian case. Starting from the Kraus representation of quantum evolution, the Markovian and non-Markovian features are discerned in its short-time structure. These two features are in concordance with each other and they are illustrated with the help of four models of interaction of the system with its environment.