Periodically driven (Floquet) systems have been under active theoretical and experimental
investigations. This paper aims at a systematic study in the following aspects of Floquet …

We define a new Z 2-valued index to characterize the topological properties of periodically
driven two dimensional crystals when the time-reversal symmetry is enforced. This index is …

We review recent developments regarding the quantum dynamics and many-body physics
with light, in superconducting circuits and Josephson analogues, by analogy with atomic …

Floquet topological insulators describe independent electrons on a lattice driven out of
equilibrium by a time-periodic Hamiltonian, beyond the usual adiabatic approximation. In …

We give a topological classification of quantum walks on an infinite 1D lattice, which obey
one of the discrete symmetry groups of the tenfold way, have a gap around some …

We investigate the topological properties of dynamical states evolving on periodic oriented
graphs. This evolution, which encodes the scattering processes occurring at the nodes of the …

We study the strong disorder regime of Floquet topological systems in dimension two that
describe independent electrons on a lattice subject to a periodic driving. In the spectrum of …

The long-wavelength physics of monolayer graphene in the presence of periodic strain
fields has a natural chiral scattering network description. When the strain field varies slowly …

We report the emergence of electronic edge states in time-periodically driven strained
armchair terminated graphene nanoribbons. This is done by considering a short-pulse …

One-dimensional laser-written modulated photonic lattices are known to be particularly
suitable for diffraction management purposes. Here, we address the connection between …