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 …

In this review recent investigations are summarized of many-body quantum systems with
long-range interactions, which are currently realized in Rydberg atom arrays, dipolar …

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 …

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 …

Quantum sensing is one of the arenas that exemplifies the superiority of quantum
technologies over their classical counterparts. Such superiority, however, can be diminished …

Time crystals are periodic states exhibiting spontaneous symmetry breaking in either time-
independent or periodically-driven quantum many-body systems. Spontaneous modification …

Systems subject to a high-frequency drive can spend an exponentially long time in a
prethermal regime, in which novel phases of matter with no equilibrium counterpart can be …

The control of many-body quantum dynamics in complex systems is a key challenge in the
quest to reliably produce and manipulate large-scale quantum entangled states. Recently …

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 …

The long-range spatial and temporal ordering displayed by discrete time crystals, can
become advantageous properties when used for sensing extremely weak signals. Here, we …