Lecture Notes on the Theory of Open Quantum Systems
Daniel A. Lidar
TL;DR
This paper provides comprehensive lecture notes on the theory of open quantum systems, focusing on completely positive maps and master equations, suitable for graduate-level study.
Contribution
It offers a self-contained, pedagogical overview of open quantum system theory, emphasizing both Markovian and non-Markovian dynamics.
Findings
Clarifies the mathematical framework of open quantum systems
Details the derivation and application of master equations
Explains the role of completely positive maps in quantum dynamics
Abstract
This is a self-contained set of lecture notes covering various aspects of the theory of open quantum system, at a level appropriate for a one-semester graduate course. The main emphasis is on completely positive maps and master equations, both Markovian and non-Markovian.
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Taxonomy
TopicsQuantum Mechanics and Applications