Frontiers of open quantum system dynamics
arXiv:1907.07516 · doi:10.1007/978-3-030-06122-7_4
Abstract
We briefly examine recent developments in the field of open quantum system theory, devoted to the introduction of a satisfactory notion of memory for a quantum dynamics. In particular, we will consider a possible formalization of the notion of non-Markovian dynamics, as well as the construction of quantum evolution equations featuring a memory kernel. Connections will be drawn to the corresponding notions in the framework of classical stochastic processes, thus pointing to the key differences between a quantum and classical formalization of the notion of memory effects.
15 pages, contribution to "Quantum Physics and Geometry", Lecture Notes of the Unione Matematica Italiana 25,E. Ballico et al. (eds.)
References in corpus (27)
- Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
- Non-Markovian dynamics in open quantum systems
- Entanglement and non-Markovianity of quantum evolutions
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Open Quantum Systems. An Introduction
- Experimental control of the transition from Markovian to non-Markovian dynamics of open quantum systems
- On measures of non-Markovianity: divisibility vs. backflow of information
- Foundations and Measures of Quantum Non-Markovianity
- Perspective: Quantum Thermodynamics
- Markovian and non-Markovian dynamics in quantum and classical systems
- Optimal state pairs for non-Markovian quantum dynamics
- Witness for initial system-environment correlations in open system dynamics
- Quantum Semi-Markov Processes
- Generalized trace distance measure connecting quantum and classical non-Markovianity
- Stochastic Representation of a Class of Non-Markovian Completely Positive Evolutions
- Structure of completely positive quantum master equations with memory kernel
- Generalized master equations leading to completely positive dynamics
- Non-unital non-Markovianity of quantum dynamics
- Non-Markovian master equations from piecewise dynamics
- Sufficient conditions for memory kernel master equation
- Class of exact memory-kernel master equations
- Mixing-induced quantum non-Markovianity and information flow
- General structure of quantum collisional models
- On generalized semi-Markov quantum evolution
- Quantum non-Markovian piecewise dynamics from collision models
- Generalized trace distance approach to quantum non-Markovianity and detection of initial correlations
- On time-local generators of quantum evolution