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Contents
Subject of Scientific Research
Subsections
Introduction
Classical Chaos
Poincaré recurrences and correlations decay in the systems with divided phase space
Modulational diffusion
Chaos of color dynamics of classical Yang-Mills fields
Breakdown of universality in renormalization dynamics for critical invariant torus with two frequencies
Quantum Chaos
Kicked rotator and dynamical localization
2d and 3d Anderson localization in one-dimesional system with 2 and 3 incommensurate frequencies
Kicked Harper model
Quantum ping-pong model
Diffusive Photoelectric Effect in Hydrogen Atom
History of the problem
Chaos, photonic localization and Kepler map
Other Directions of Researches
Quantum optics
Quantum Frenkel-Kontorova model
Dynamical localization for Josephson junctions and cold atoms
Rydberg stabilization of atoms in a strong field
Nonlinear wave propagation in a random media and delocalization of quantum chaos by weak nonlinearity
Chaotic autoionization of molecular Rydberg states
Recent Results
Universal diffusion near the golden chaos border and
asymptotic statistics of Poincaré recurrences
Chaos and longwave equipartition in the Fermi-Pasta-Ulam problem at low energy limit
Adiabatic destruction of Anderson localization
Chaotic Landau level mixing in classical and quantun wells
Emergence of quantum ergodicity in rough billiards
Chaotic enhancement of microwave excitation for chaotic Rydberg atoms
Quantum chaos in open systems
Interaction, disorder and Anderson localization
Two interacting particles effect
Two interacting particles in the Harper model
Emergence of quantum chaos and thermalization in finite Fermi systems
Integrability and quantum chaos in spin glass shards
3d Anderson transition for two electrons in 2d
Quantum ergodicity for electrons in 2d
Quantum chaos
quantum computers
Future perspectives
2000-01-04
quantum computers