Related Experiment Video
Updated: Aug 6, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
New class of eigenstates in generic hamiltonian systems
Ketzmerick1, Hufnagel, Steinbach
1Max-Planck-Institut fur Stromungsforschung and Institut fur Nichtlineare Dynamik der Universitat Gottingen, Bunsenstrasse 10, 37073 Gottingen, Germany.
Abstract:
In mixed systems, besides regular and chaotic states, there are states supported by the chaotic region mainly living in the vicinity of the hierarchy of regular islands. We show that the fraction of these hierarchical states scales as Planck's over 2pi(alpha) and we relate the exponent alpha = 1-1/gamma to the decay of the classical staying probability P(t) approximately t(-gamma). This is numerically confirmed for the kicked rotor by studying the influence of hierarchical states on eigenfunction and level statistics.
More Related Videos
07:56A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
Published on: September 5, 2019
08:04Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
Published on: May 27, 2020
Related Concept Videos
The Pauli Exclusion Principle
Free Energy Changes for Nonstandard States
First Law: Particles in One-dimensional Equilibrium
Atomic Nuclei: Nuclear Spin State Overview
Classical Mechanics
State Space Representation
Consider an RLC circuit, a...