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Quantum Dynamical Systems
Robert Alicki,Mark Fannes +1 more
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In this article, basic tools for quantum mechanics are presented, including algebraic tools, deterministic dynamics, spin chains, Fermionic dynamical systems, and quantum irreversibility.Abstract:
Preface 1. Introduction 2. Basic tools for quantum mechanics 3. Deterministic dynamics 4. Spin chains 5. Algebraic tools 6. Fermionic dynamical systems 7. Ergodic theory 8. Quantum irreversibility 9. Entropy 10. Dynamical entropy 11. Classical dynamical entropy 12. Finite quantum systems 13. Model systems 14. Epilogue Index Bibliographyread more
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BookDOI
Open quantum systems : an introduction
Ángel Rivas,Susana F. Huelga +1 more
TL;DR: In this paper, the authors describe the quantum Markov process in closed quantum systems and time evolution in open quantum systems as a mathematical structure, and present a mathematical model for the non-Markovian case.
Journal ArticleDOI
Geometry of quantum states: an introduction to quantum entanglement by Ingemar Bengtsson and Karol Zyczkowski
Book ChapterDOI
Between classical and quantum
TL;DR: In this article, the authors discuss three ways in which classical physics has so far been believed to emerge from quantum physics, namely in the limit h -> 0 of small Planck's constant (in a finite system), and through decoherence and consistent histories.
Book ChapterDOI
Concepts and Methods in the Theory of Open Quantum Systems
TL;DR: The central physical concepts and mathematical techniques used in the theory of open quantum systems are reviewed and the corresponding dynamical evolution equations are derived for the Markovian as well as for the non-Markovian case.
Journal ArticleDOI
Procedures for Converting among Lindblad, Kraus and Matrix Representations of Quantum Dynamical Semigroups
TL;DR: In this article, eigenvalue methods are presented by which canonical Kraus and Lindblad operator sum representations can be computed for quantum process tomography, the statistical estimation of superoperators and their generators, from a wide variety of experimental data.