2013/01/14 by Bassano Vacchini · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Applied mathematics #Computer science #Dynamical systems theory #Dynamics (music) #Evolution equation #Kernel (algebra) #Markov process #Master equation #Mathematical analysis #Mathematics #Open system (computing) #Physics #Piecewise #Pure mathematics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Quantum state #Spectroscopy and Quantum Chemical Studies #Statistical physics #TRACE (psycholinguistics) #Time evolution #Trace distance #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1103/physreva.87.030101
published as Phys. Rev. A 87, 030101(R) (2013) · 7 pages, 2 figures
arxiv created 2013/01/14 · openalex publication_date 2013/03/08 · arxiv updated 2014/04/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We construct a large class of completely positive and trace-preserving non-Markovian dynamical maps for an open quantum system. These maps arise from a piecewise dynamics for statistical operators characterized by a continuous time evolution interrupted by jumps, randomly distributed in time and described by a quantum channel. The state of the open system is shown to obey a closed evolution equation, given by a master equation with a memory kernel and an inhomogeneous term. The non-Markovianity of the obtained dynamics is explicitly assessed studying the behavior of the distinguishability of two different initial system's states with elapsing time.