Experimental advances have allowed for the exploration of nearly isolated quantum many-
body systems whose coupling to an external bath is very weak. A particularly interesting …

Time crystals correspond to a phase of matter where time-translational symmetry (TTS) is
broken. Up to date, they are well studied in open quantum systems, where an external drive …

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 analytically and numerically that the paradigmatic model of quantum
magnetism, the Heisenberg XXZ spin chain, does not equilibrate. It constitutes an example …

We propose an experimental realization of a time crystal using an atomic Bose-Einstein
condensate in a high finesse optical cavity pumped with laser light detuned to the blue side …

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 …

Discrete time crystals represent a paradigmatic nonequilibrium phase of periodically driven
matter. Protecting its emergent spatiotemporal order necessitates a mechanism that hinders …

We demonstrate the emergence of a time crystal of atoms in a high-finesse optical cavity
driven by a phase-modulated transverse pump field, resulting in a shaken lattice. This …

We discuss the emergence of non-stationarity in open quantum many-body systems. This
leads us to the definition of dissipative time crystals which display experimentally …

We show that applying feedback and weak measurements to a quantum system induces
phase transitions beyond the dissipative ones. Feedback enables controlling essentially …