Page
%P
-
Article
Dynamics of complex systems: present and future
This special issue contains 17 regular articles The broad spectrum of scientific directions include the study of dynamics in complex systems, in non-equilibrium systems, in quantum systems including condensed ...
-
Chapter
Fano Resonances in Flat Band Networks
Linear wave equations on Hamiltonian lattices with translational invariance are characterized by an eigenvalue band structure in reciprocal space. Flat band lattices have at least one of the bands completely d...
-
Article
Quantum subdiffusion with two- and three-body interactions
We study the dynamics of a few-quantum-particle cloud in the presence of two- and three-body interactions in weakly disordered one-dimensional lattices. The interaction is dramatically enhancing the Anderson ...
-
Article
Open AccessInteracting ultracold atomic kicked rotors: loss of dynamical localization
We study the fate of dynamical localization of two quantum kicked rotors with contact interaction, which relates to experimental realizations of the rotors with ultra-cold atomic gases. A single kicked rotor i...
-
Article
Open AccessFractional lattice charge transport
We consider the dynamics of noninteracting quantum particles on a square lattice in the presence of a magnetic flux α and a dc electric field E oriented along the lattice diagonal. In general, the adiabatic dynam...
-
Article
Localization of weakly disordered flat band states
Certain tight binding lattices host macroscopically degenerate flat spectral bands. Their origin is rooted in local symmetries of the lattice, with destructive interference leading to the existence of compact...
-
Article
Open AccessThe Asymmetric Active Coupler: Stable Nonlinear Supermodes and Directed Transport
We consider the asymmetric active coupler (AAC) consisting of two coupled dissimilar waveguides with gain and loss. We show that under generic conditions, not restricted by parity-time symmetry, there exist fi...
-
Chapter and Conference Paper
Spreading, Nonergodicity, and Selftrap**: A Puzzle of Interacting Disordered Lattice Waves
Localization of waves by disorder is a fundamental physical problem encompassing a diverse spectrum of theoretical, experimental and numerical studies in the context of metal-insulator transitions, the quantum...
-
Chapter
Nonlinear Lattice Waves in Random Potentials
Localization of waves by disorder is a fundamental physical problem encompassing a diverse spectrum of theoretical, experimental and numerical studies in the context of metal-insulator transition, quantum Hall...
-
Article
Thermal conductivity of nonlinear waves in disordered chains
We present computational data on the thermal conductivity of nonlinear waves in disordered chains. Disorder induces Anderson localization for linear waves and results in a vanishing conductivity. Cubic nonline...
-
Book
-
Chapter
Transporting Cold Atoms in Optical Lattices with Ratchets: Mechanisms and Symmetries
Thermal fluctuations alone cannot create a steady directed transport in an unbiased system. However, if a system is out of equilibrium, the Second Law of Thermodynamics no longer applies, and then there are no...
-
Chapter
Localized Excitations in Discrete Hamiltonian Systems
The modification of soliton properties (e. g. of kinks and breathers) in discrete systems has been studied over a rather long period of time1. Recently Takeno2 has discussed a new type of nonlinear localized exci...
-
Chapter
Properties of Localized Excitations in 1D Discrete Systems
In this contribution we will study in detail properties of nonlinear localized excitations (NLE) in one-dimensional discrete Hamiltonian lattices. We will use results from a previous contribution1, which we herea...
-
Article
Long-time correlations in a model of structural phase transitions with infinite range interaction
The long-time value of the displacement-displacement correlation function is calculated within theφ 4-lattice model used to simulate structural phase transitions. Its temperature dependence and dispersion is disc...
-
Article
Mode coupling approximation in a model of structural phase transitions with infinite range interaction
The long-time value of the displacement-displacement correlation function and the mean square displacements are calculated within the Φ4-lattice model with infinite range interaction by use of a mode coupling app...
