The spontaneous breaking of time-translation symmetry has led to the discovery of a new
phase of matter: the discrete time crystal. Discrete time crystals exhibit rigid subharmonic …

Time crystals are physical systems whose time translation symmetry is spontaneously
broken. Although the spontaneous breaking of continuous time-translation symmetry in static …

Higher-order and fractional discrete time crystals (DTCs) are exotic phases of matter where
the discrete time translation symmetry is broken into higher-order and non-integer category …

We show how a large family of interacting nonequilibrium phases of matter can arise from
the presence of multiple time-translation symmetries, which occur by quasiperiodically …

A time crystal is an exotic phase of matter where time-translational symmetry is broken; this
phase differs from the spatial symmetry breaking induced in conventional crystals. Lots of …

We propose the dynamical stabilization of a nonequilibrium order in a driven dissipative
system comprised an atomic Bose–Einstein condensate inside a high finesse optical cavity …

Discrete time crystals are periodically driven systems characterized by a response with
periodicity n T, with T the period of the drive and n> 1. Typically, n is an integer and bounded …

We investigate an unconventional symmetry in time-periodically driven systems, the Floquet
dynamical symmetry (FDS). Unlike the usual symmetries, the FDS gives symmetry sectors …

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 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 …