Non-Markovian processes in quantum theory
arXiv:1907.10886 · doi:10.1007/978-3-030-46777-7_24
Abstract
The study of quantum dynamics featuring memory effects has always been a topic of interest within the theory of open quantum system, which is concerned about providing useful conceptual and theoretical tools for the description of the reduced dynamics of a system interacting with an external environment. Definitions of non-Markovian processes have been introduced trying to capture the notion of memory effect by studying features of the quantum dynamical map providing the evolution of the system states, or changes in the distinguishability of the system states themselves. We introduce basic notions in the framework of open quantum systems, stressing in particular analogies and differences with models used for introducing modifications of quantum mechanics which should help in dealing with the measurement problem. We further discuss recent developments in the treatment of non-Markovian processes and their role in considering more general modifications of quantum mechanics.
arXiv comment10 pages, Submitted as a chapter of "Do wave functions jump? Perspectives on the work of GC Ghirardi", Editors: V. Allori, A. Bassi, D. Dürr & N. Zanghì; Springer International Publishing
References in corpus (35)
- Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
- Decoherence, the measurement problem, and interpretations of quantum mechanics
- Non-Markovian dynamics in open quantum systems
- Models of Wave-function Collapse, Underlying Theories, and Experimental Tests
- Entanglement and non-Markovianity of quantum evolutions
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Open Quantum Systems. An Introduction
- Concepts and methods in the theory of open quantum systems
- Dynamical Reduction Models
- On measures of non-Markovianity: divisibility vs. backflow of information
- Foundations and Measures of Quantum Non-Markovianity
- Markovian and non-Markovian dynamics in quantum and classical systems
- Witness for initial system-environment correlations in open system dynamics
- Introduction to decoherence theory
- Non-Markovian random unitary qubit dynamics
- Generalized trace distance measure connecting quantum and classical non-Markovianity
- Collapse models with non-white noises
- On Random Unitary Channels
- Classical and Quantum Probability
- All-optical quantum simulator of qubit noisy channels
- A classical appraisal of quantum definitions of non-Markovian dynamics
- On the Energy Increase in Space-Collapse Models
- Translation-covariant Markovian master equation for a test particle in a quantum fluid
- Non-Markovian dynamics for bipartite systems
- System-environment correlations and Non-Markovian dynamics
- Mixing-induced quantum non-Markovianity and information flow
- Precursors of non-Markovianity
- Exact solution for a non-Markovian dissipative quantum dynamics
- Theory of decoherence due to scattering events and Lévy processes
- Dissipative extension of the Ghirardi-Rimini-Weber model
- Dissipative collapse models with non-white noises
- Momentum coupling in non-Markovian Quantum Brownian motion
- On the precise connection between the GRW master-equation and master-equations for the description of decoherence
- Quantum master equation for collisional dynamics of massive particles with internal degrees of freedom
- Non-Markovianity by undersampling in quantum optical simulators