Non-equilibrium topological phenomena can be induced in quantum many-body systems
using time-periodic fields (for example, by laser or microwave illumination). This Review …

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 …

Many non-equilibrium phenomena have been discovered or predicted in optically driven
quantum solids. Examples include light-induced superconductivity, and Floquet-engineered …

In recent years, the notion of'Quantum Materials' has emerged as a powerful unifying
concept across diverse fields of science and engineering, from condensed-matter and …

The non-Hermitian skin effect (NHSE) in non-Hermitian lattice systems, associated with a
point gap on the complex energy plane, has attracted great theoretical and experimental …

This work explores a fundamental dynamical structure for a wide range of many-body
quantum systems under periodic driving. Generically, in the thermodynamic limit, such …

Recently, the search for topological states of matter has turned to non-Hermitian systems,
which exhibit a rich variety of unique properties without Hermitian counterparts. Lattices …

Floquet systems are governed by periodic, time-dependent Hamiltonians. Prima facie they
should absorb energy from the external drives involved in modulating their couplings and …

Dynamical phases with novel topological properties are known to arise in driven systems of
free fermions. In this paper, we obtain a 'periodic table'to describe the phases of such time …

We show that two-dimensional periodically driven quantum systems with spatial disorder
admit a unique topological phase, which we call the anomalous Floquet-Anderson insulator …