Time crystals are time-periodic self-organized structures postulated by Frank Wilczek in
2012. While the original concept was strongly criticized, it stimulated at the same time an …

Kicked rotor is a paradigmatic model for classical and quantum chaos in time-dependent
Hamiltonian systems. More than fifty years since the introduction of this model, there is an …

We consider disordered many-body systems with periodic time-dependent Hamiltonians in
one spatial dimension. By studying the properties of the Floquet eigenstates, we identify two …

We study dynamics of isolated quantum many-body systems whose Hamiltonian is switched
between two different operators periodically in time. The eigenvalue problem of the …

The Anderson transition in random graphs has raised great interest, partly out of the hope
that its analogy with the many-body localization (MBL) transition might lead to a better …

Contrary to a driven classical system that exhibits chaotic behaviour and diffusive energy
growth, a kicked quantum system can exhibit the emergence of dynamical localization …

We describe a new multifractal finite-size scaling (MFSS) procedure and its application to
the Anderson localization-delocalization transition. MFSS permits the simultaneous …

Nonequilibrium dynamics of many-body systems are important in many scientific fields.
Here, we report the experimental observation of a phase transition of the quantum coherent …

We experimentally test the universality of the Anderson three dimensional metal-insulator
transition, using a quasiperiodic atomic kicked rotor. Nine sets of parameters controlling the …

Dimension 2 is expected to be the lower critical dimension for Anderson localization in a
time-reversal-invariant disordered quantum system. Using an atomic quasiperiodic kicked …