We give a systematic review of the adiabatic theorem and the leading non-adiabatic
corrections in periodically-driven (Floquet) systems. These corrections have a two-fold …

Constructing new topological materials is of vital interest for the development of robust
quantum applications. However, engineering such materials often causes technological …

We study far from equilibrium transport of a periodically driven inertial Brownian particle
moving in a periodic potential. As detected for a SQUID ratchet dynamics, the mean square …

We report on the design of a Hamiltonian ratchet exploiting periodically at rest integrable
trajectories in the phase space of a modulated periodic potential, leading to the linear …

A periodically driven quantum system, when coupled to a heat bath, relaxes to a non-
equilibrium asymptotic state. In the general situation, the retrieval of this asymptotic state …

Using two-frequency driving in two dimensions opens up new possibilities for Floquet
engineering, which range from controlling specific symmetries to tuning the properties of …

The dynamic engineering of band structures for ultracold atoms in optical lattices represents
an innovative approach to understanding and exploring the fundamental principles of …

We demonstrate how the properties of light-induced electronic Floquet states in solids
impact natural physical observables, such as transport properties, by capturing the …

There is now growing evidence of collective turbulentlike motion of cells in dense tissues.
However, how to control and harness this collective motion is an open question. We …

Directed transport of particles in asymmetric potential fields is an important topic in many
scenarios. This article proposes a model to describe the transport of an overdamped system …