We show how a finite number of conservation laws can globally “shatter” Hilbert space into
exponentially many dynamically disconnected subsectors, leading to an unexpected …

In this work we demonstrate that nonrandom mechanisms that lead to single-particle
localization may also lead to many-body localization, even in the absence of disorder. In …

We discuss recent advances in the understanding of the dynamics of nonlinear lattice waves
in heterogeneous media, which enforce complete wave localization in the linear wave …

In the present work, we attempt a brief summary of various areas where non-linear waves
have been emerging in the phenomenology of lattice dynamical systems. These areas …

The subject of this study is the long-time equilibration dynamics of a strongly disordered one-
dimensional chain of coupled weakly anharmonic classical oscillators. It is shown that chaos …

A variety of heterogeneous potentials are capable of localizing linear noninteracting waves.
In this work, we review different examples of heterogeneous localizing potentials which were …

We investigate the impacts of an imaginary transverse field on the dynamics of magnetic
domain walls in a quantum Ising chain. We show that an imaginary field plays a similar role …

Driven-dissipative light-matter systems can exhibit collective nonequilibrium phenomena
due to loss and gain processes on the one hand and effective photon-photon interactions on …

The coherent dynamics of two strongly interacting electrons hop** on a one-dimensional
lattice and driven by combined dc-ac fields is theoretically investigated in the framework of …

We study the dynamics of few interacting bosons in a one-dimensional lattice with dc bias. In
the absence of interactions the system displays single-particle Bloch oscillations. For strong …