We review a theory for coupled many-nonlinear oscillator systems that describes quantum
ergodicity and energy flow in molecules. The theory exploits the isomorphism between …

The Aubry-André-Harper model provides a paradigmatic example of aperiodic order in a
one-dimensional lattice displaying a delocalization-localization phase transition at a finite …

Quantum Dynamics and Decompositions of Singular Continuous Spectra Page 1 July 5, 1995
Quantum Dynamics and Decompositions of Singular Continuous Spectra Y. Last Division of …

We report on the study of a polariton gas confined in a quasiperiodic one-dimensional
cavity, described by a Fibonacci sequence. Imaging the polariton modes both in real and …

Sandro Wimberger An Introduction Second Edition Page 1 Nonlinear Dynamics and
Quantum Chaos Sandro Wimberger An Introduction Second Edition Graduate Texts in …

We develop a new real-space method which allows one to evaluate the Kubo-Greenwood
formula for dc conductivity of independent electrons in a static potential. We apply it to a …

The multifractal dimensions D 2 μ and D 2 ψ of the energy spectrum and eigenfunctions,
respectively, are shown to determine the asymptotic scaling of the width of a spreading wave …

The dynamic behavior of a physical system often originates from its spectral properties. In
open systems, where the effective non-Hermitian description enables a wealth of spectral …

We study the many-body localization (MBL) properties of a chain of interacting fermions
subject to a quasiperiodic potential such that the non-interacting chain is always delocalized …

In a perturbative limit, we derive the diffusion properties of initially localized wave packets on
the Fibonacci chain. We establish a new relation between generalized diffusion exponents …