On Time-Local Generators of Quantum Evolution

2013/11/13 by Dariusz Chruściński
Computer Science · Physics and Astronomy · #Dynamics (music) #Markov process #Open quantum system #Quantum #Quantum Computing Algorithms and Architecture #Quantum chaos and dynamical systems #Quantum dynamics #Quantum many-body systems #Quantum operation #Quantum process #Quantum system #TRACE (psycholinguistics) #quant-ph

paper · pdf · doi:10.1142/s1230161214400046

published as Open Syst. Inf. Dyn., 21, 1440004 (2014) · Lecture presented at the school "Open Quantum Systems", Torun, June 20-24, 2012 (30 pages)

arxiv created 2013/11/13 · openalex publication_date 2014/03/12 · arxiv updated 2014/12/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We present a basic introduction to the dynamics of open quantum systems based on local-in-time master equations. We characterize the properties of time-local generators giving rise to legitimate completely positive trace preserving quantum evolutions. The analysis of Markovian and non-Markovian quantum dynamics is presented as well. The whole discussion is illustrated by the family of many instructive examples.

Citations

• OPEN QUANTUM DYNAMICS: COMPLETE POSITIVITY AND ENTANGLEMENT
• Stochastic Dynamics of Quantum-Mechanical Systems
• The Magnus expansion and some of its applications
• Completely positive dynamical semigroups of N-level systems
• Dividing Quantum Channels
• Completely positive linear maps on complex matrices