Research: Chaos and Quantum Chaos

Highlights 2008
- Regular-to-chaotic tunneling rates using a fictitious integrable system, Phys. Rev. Lett. 100, 104101 (2008)
- Residual Coulomb interaction fluctuations in chaotic systems, Phys. Rev. Lett. 100, 164101 (2008)
- Dynamical tunneling in mushroom billiards, Phys. Rev. Lett. 100, 174103 (2008)
- On universality of algebraic decays in Hamiltonian systems, Phys. Rev. Lett. 100, 184101 (2008)

Mixed Systems - Mesoscopic Physics
Hierarchical state We study the quantum signatures of deterministic chaotic dynamics with emphasis on mixed systems, where regular and chaotic dynamics coexist in a fascinating way. This leads to measurable phenomena in mesoscopic devices, such as semiconductor nanostructures. more ...
Fractals in quantum mechanics
Fibonacci spectrum Quantum systems with fractal spectra and eigenfunctions show anomalous quantum transport. We explore this relation and the influence of classical chaos in particular for Bloch electrons in magnetic fields. more ...
Hamiltonian Ratchets
Ratchet Molecular motors and Brownian motors have attracted much attention recently. We investigate ratchets in the absence of dissipation and study their classical and quantum behavior. more ...
Computational methods
Wavefunction in the cardioid billiard Efficient numerical methods for determining eigenvalues and wave functions of quantum systems (e.g. chaotic billiards) are developed. more ...
DFG Forschergruppe FOR 760: Scattering Systems with Complex Dynamics
FOR 760 Topics:
- Fundamental aspects of quantum-classical correspondence
- Random versus deterministic transport
- Scattering in coherent many-body systems
Home Page

Teaching: Wintersemester 2008/2009

Vorlesung: Chaos and Quantum Chaos
Homoklines Knäuel

Hauptseminar Nichtlineare Dynamik
Logistic map

Vorlesung: Thermodynamik und Statistische Physik für Physiklehrer
Seminar IMPRS
(International Max-Planck Research School) Dynamical Processes in Atoms, Molecules and Solids at the Max-Planck-Institute for the Physics of Complex Systems


Last modified: 22 July 2008, 11:45:43 , Impressum, © Arnd Bäcker