Complex phenomena in nanoscale systems : [proceedings of the NATO advanced research workshop on recent advances in nonlinear dynamics and complex system physics : from natural to social sciences and security, Tashkent, Uzbekistan, 12-17 October 2008

Nanoscale physics has become one of the rapidly developing areas of contemporary physics because of its direct relevance to newly emerging area, nanotechnologies. Nanoscale devices and quantum functional materials are usually constructed based on the results of fundamental studies on nanoscale physics. Therefore studying physical phenomena in nanosized systems is of importance for progressive development of nanotechnologies. In this context study of complex phenomena in such systems and using them for controlling purposes is of great practical importance. Namely, such studies are brought together in this book, which contains 27 papers on various aspects of nanoscale physics and nonlinear dynamics. Front Matter....Pages i-xiv Tuning the Superconducting Properties of Nanomaterials....Pages 1-14 Optical Microcavities of Spiral Shape: From Quantum Chaos to Directed Laser Emission....Pages 15-24 Mesoscopic Interplay of Superconductivity and Ferromagnetismin Ultra-Small Metallic Grains....Pages 25-35 Time-Reversal Mirrors In Chaotic Cavities....Pages 37-49 Entanglement and Localization of Wavefunctions....Pages 51-63 Exact Analysis of Adiabatic Invariants in Time Dependent Harmonic Oscillator....Pages 65-80 Time-Dependent Quantum Billiards....Pages 81-95 Screening of the Coulomb Interaction in a Generic Ballistic Quantum Dot....Pages 97-107 Kicked Bose-Einstein Condensates: in Search of Exponential Instability....Pages 109-119 Vortices in the Ground State of Spinor Bose-Einstein Condensates....Pages 121-136 Nonlinear Dynamics of Wave Packets and Vortices in Bose-Einstein Condensates....Pages 137-152 Optomechanics....Pages 153-164 Hohenberg-Martin Dilemma for Bose Condensed Systems and its Solution....Pages 165-175 Phonons and Electron-Phonon Interactions in Single-Walled Achiral Carbon Nanotubes....Pages 177-181 Fast-Forward Problem in Microscopic and Macroscopic Quantum Mechanics....Pages 183-188 Collective Oscillations of a Quasi One Dimensional Bose Condensate Under Damping....Pages 189-196 Nonlinear Dynamics of the Kicked Square Billiard....Pages 197-202 Chaotic Instantons and Exponential Widening of the Ground Quasienergy Doublet in Kicked Double Well Potential....Pages 203-208 A Fresh View on Fermi Acceleration in Driven Two-Dimensional Billiards....Pages 209-214 Time Dependent Neutrino Billiards....Pages 215-221 Statistic Theory of Multiple Exciton Generation in Quantum Dot Based Solar Cells....Pages 223-228 Modelling of Quantum Wires in the Interface Layer of the Semiconductor-Oxide Structures with Charge Built in Oxide....Pages 229-236 Nonlinear Responses in Hard Disk Systems....Pages 237-243 Stochastic Landau-Lifshitz-Gilbert Equation with Delayed Feedback Field: Efficiency for Maintaining a UPO....Pages 245-251 Spin Dynamics and Quantum Transport in Quantum Spin Chains Under an Oscillating Field....Pages 253-258 Extraction of Partial Waves and Fluxes of the Hydrogen Atom in a Strong Magnetic Field Using the Complex Rotation Method....Pages 259-264 Markovian Limit of a Spatio-Temporal Correlated Open Systems....Pages 265-271 Back Matter....Pages 273-273