Time-periodic forcing in the form of coherent radiation is a standard tool for the coherent
manipulation of small quantum systems like single atoms. In the last years, periodic driving …

There have been significant recent advances in realizing band structures with geometrical
and topological features in experiments on cold atomic gases. This review summarizes …

Driving a quantum system periodically in time can profoundly alter its long-time dynamics
and trigger topological order. Such schemes are particularly promising for generating …

In the presence of a circularly polarized mid-infrared radiation graphene develops
dynamical band gaps in its quasienergy band structure and becomes a Floquet insulator …

We present a theory of periodically driven, many-body localized (MBL) systems. We argue
that MBL persists under periodic driving at high enough driving frequency: The Floquet …

We report on simulations of the dc conductance and quantum Hall response of a Floquet
topological insulator using Floquet scattering theory. Our results reveal that laser-induced …

The Su–Schrieffer–Heeger model of polyacetylene is a paradigmatic Hamiltonian exhibiting
nontrivial edge states. By using Floquet theory we study how the spectrum of this one …

Periodic driving of optical lattices has enabled the creation of novel band structures not
realizable in static lattice systems, such as topological bands for neutral particles. However …

Motivated by recent experimental implementations of artificial gauge fields for gases of cold
atoms, we study the scattering properties of particles that are subjected to time-periodic …

Quantum systems can show qualitatively new forms of behavior when they are driven by fast
time-periodic modulations. In the limit of large driving frequency, the long-time dynamics of …