Dynamics of Complex Quantum Systems

Complex Systems and Their Statistical Description. - Examples of Complex Systems. - Molecules and Atoms in Laser Fields. - Collisions and Reactions of Molecules. - Rydberg Molecules. - Atomic and Molecular Clusters. - Some Other Examples. - Quantum Circuits and Networks. - Two-Level and Level Band Systems. - Two-Level System. - Level band System. - Long-Time Behavior. - Population of Inhomogeneous Bands. - Two-Band System. - General Consideration. - Non-Degenerate Bands. - Two Degenerate Levels. - A Band Coupled to a Degenerate Level. - The Role of Correlations. - Soluble Time-Dependent Systems. - Algebraic Structure of Time Dependent Systems. - Time-Dependent Two-Level Systems. - Semiclassical Analysis of Time-Dependent Systems. - Time-Dependent Level Band System. - Time-Dependent Complex Systems. - Degenerate Level Crosses an Infinite Band. - Perturbation Proportional to a Random Matrix. - Harmonic Perturbation of Complex Systems. - Two-Frequency Excitation of Complex Systems. - Two-Band System in a Periodic. - The Dynamics of One-Dimensional Relay-Type Systems. - Exactly Soluble Relays of Isolated Levels. - General Case of an Exactly Soluble Relay. - Smooth Variation of the Parameters. - Relay with disordered parameters. - Field Theory Method for Disordered Systems. - Population Dynamics in a Disordered Chain. - Composite Complex Quantum Systems. - Relay of Multilevel Bands. - Random Walks and Coherent Behavior. - Dynamical Localization in Complex Systems. -Spectra of Complex Systems. - Manifestation of Quantum Complexity in the State Density. - The Effect of Quantum Recurrences on the State Density Profiles. - The Density of Quantum States of Fractals. - Spectra of Euclidian Random Matrices. -Entangled States of Composite Quantum Systems. - Product States and Entangled States. - Entanglement and Quantum Informatics. - How to characterize multipartite entanglement? . - Dynamics and Entanglement for Open Quantum Systems. - Complex Quantum SystemsEntangled with the Environment. - Exactly Soluble Model of Environment with a Finite Correlation Time. - Entanglement of Mixed Quantum States. - Coherence Protection and Control over Complex Quantum Systems . - Control of Complex Quantum Systems. -Coherence Control of Open Quantum Systems. - Bibliography and Problems. - Bookshelf. - Problems. - References. - Index.