The past few years have witnessed a surge of interest in non-Hermitian Floquet topological
matter due to its exotic properties resulting from the interplay between driving fields and non …

Time-periodic (Floquet) driving is a powerful way to control the dynamics of complex
systems, which can be used to induce a plethora of new physical phenomena. However …

We review various bounds concerning out-of-equilibrium dynamics in few-level and many-
body quantum systems. We primarily focus on closed quantum systems but will also mention …

Discrete time crystals (DTCs) have recently attracted increasing attention, but most DTC
models and their properties are only revealed after disorder average. In this Letter, we …

Understanding quantum phase transitions in highly excited Hamiltonian eigenstates is
currently far from being complete. It is particularly important to establish tools for their …

We study heating dynamics in isolated quantum many-body systems driven periodically at
high frequency and large amplitude. Combining the high-frequency expansion for the …

Nonequilibrium steady states (NESSs) in periodically driven dissipative quantum systems
are vital in Floquet engineering. We develop a general theory for high-frequency drives with …

The concept of dynamical freezing is a phenomenon where a suitable set of local
observables freezes under a strong periodic drive in a quantum many-body system. This …

We reconstruct the spectral pairing theories to enable analytical descriptions of eigenstate
spatiotemporal orders in translation-invariant system without prethermal conditions. It is …

Chimera states are a captivating occurrence in which a system composed of multiple
interconnected elements exhibits a distinctive combination of synchronized and …