Dynamics of Complex Quantum Systems (eBook)

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 Systems Entangled 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.