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 …

We give a general overview of the high-frequency regime in periodically driven systems and
identify three distinct classes of driving protocols in which the infinite-frequency Floquet …

Clean and interacting periodically driven systems are believed to exhibit a single, trivial
“infinite-temperature” Floquet-ergodic phase. In contrast, here we show that their disordered …

We derive a systematic high-frequency expansion for the effective Hamiltonian and the
micromotion operator of periodically driven quantum systems. Our approach is based on the …

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 …

We present a major update to QuSpin, SciPostPhys. 2.1. 003--an open-source Python
package for exact diagonalization and quantum dynamics of arbitrary boson, fermion and …

Equilibrium thermodynamics is characterized by two fundamental ideas: thermalization—
that systems approach a late time thermal state; and phase structure—that thermal states …

The Dicke model—a paradigmatic example of superradiance in quantum optics—describes
an ensemble of atoms which are collectively coupled to a leaky cavity mode. As a result of …

The spontaneous breaking of time-translation symmetry in periodically driven quantum
systems leads to a new phase of matter: the discrete time crystal (DTC). This phase exhibits …

We study the dynamics and stability in a strongly interacting resonantly driven two-band
model. Using exact numerical simulations, we find a stable regime at large driving …