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 …

In Floquet engineering, periodic driving is used to realize novel phases of matter that are
inaccessible in thermal equilibrium. For this purpose, the Floquet theory provides us a recipe …

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 …

Experimental progress in atomic, molecular, and optical platforms in the last decade has
stimulated strong and broad interest in the quantum coherent dynamics of many long-range …

In a periodically driven (Floquet) system, there is the possibility for new phases of matter, not
present in stationary systems, protected by discrete time-translation symmetry. This includes …

Exploiting the relative entropy of coherence, we isolate the coherent contribution in the
energetics of a driven nonequilibrium quantum system. We prove that a division of the …

For periodically driven systems, we derive a family of inequalities that relate entropy
production with experimentally accessible data for the mean, its dependence on driving …

We put forth a new class of quantum master equations that correctly reproduce the
asymptotic state of an open quantum system beyond the infinitesimally weak system-bath …

Following the recent realization that periodically driven quantum matter can support new
types of spatiotemporal order, now known as discrete time crystals (DTCs), we consider the …