426 citations · 5.6k across the 221 of their papers we have counts for
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Dynamical Localization: Hydrogen Atoms in Magnetic and Microwave fields
Francesco Benvenuto, Giulio Casati, Dima L. Shepelyansky
We show that dynamical localization for excited hydrogen atoms in magnetic and microwave fields takes place at quite low microwave frequency much lower than the Kepler frequency. T…
Quantum localization in rough billiards
Klaus M. Frahm, Dima L. Shepelyansky
We study the level spacing statistics p(s) and eigenfunction properties in a billiard with a rough boundary. Quantum effects lead to localization of classical diffusion in the angu…
Two interacting quasiparticles above the Fermi sea
Ph. Jacquod, D. L. Shepelyansky
We study numerically the interaction and disorder effects for two quasiparticles in two and three dimensions. The dependence of the interaction-induced Breit-Wigner width on the ex…
Two interacting Hofstadter butterflies
Armelle Barelli, Jean Bellissard, Philippe Jacquod +1
The problem of two interacting particles in a quasiperiodic potential is addressed. Using analytical and numerical methods, we explore the spectral properties and eigenstates struc…
Particle propagation in a random and quasiperiodic potential
F. Borgonovi, D. L. Shepelyansky
We numerically investigate the Anderson transition in an effective dimension () for one particle propagation in a model random and quasiperiodic potential. Th…
Double butterfly spectrum for two interacting particles in the Harper model
Armelle Barelli, Jean Bellissard, Philippe Jacquod +1
We study the effect of interparticle interaction on the spectrum of the Harper model and show that it leads to a pure-point component arising from the multifractal spectrum of…