We present a brief overview of some of the analytic perturbative techniques for the
computation of the Floquet Hamiltonian for a periodically driven, or Floquet, quantum many …

We prove the existence of nonequilibrium phases of matter in the prethermal regime of
periodically driven, long-range interacting systems, with power-law exponent α> d, where d …

We demonstrate that the prethermal regime of periodically driven (Floquet), classical many-
body systems can host nonequilibrium phases of matter. In particular, we show that there …

Despite intensive searches for topological superconductors, the realization of topological
superconductivity remains under debate. Previous proposals for the topological s-wave, p …

An adiabatic state preparation technique, called the adiabatic spiral, is proposed for the
Heisenberg model. This technique is suitable for implementation on a number of quantum …

The time evolution of an Ising model with large driving fields over discrete time intervals is
shown to be reproduced by an effective XXZ-Heisenberg model at leading order in the …

Ten years ago, the new era of time crystals began. Time crystals are systems that behave in
the time dimension like ordinary space crystals do in space dimensions. We present a brief …

We investigate the chiral anomaly in a Floquet system under a time-periodic electric field in
(1+ 1) dimensions. Using the van Vleck high-frequency expansion, we analytically calculate …

The time-evolution of an Ising model with large driving fields over discrete time intervals is
shown to be reproduced by an effective XXZ-Heisenberg model at leading order in the …

We present a numerical method to simulate nonequilibrium Floquet steady states of one-
dimensional periodically driven many-body systems coupled to a dissipative bath, based on …