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 …

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 …

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 …

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

The idea of breaking time-translation symmetry has fascinated humanity at least since
ancient proposals of the perpetuum mobile. Unlike the breaking of other symmetries, such …

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 …

We excite the vacuum of a relativistic theory of bosons coupled to a U (1) gauge field in 1+ 1
dimensions (bosonic Schwinger model) out of equilibrium by creating a spatially separated …

Strong measurements usually restrict the dynamics of measured finite dimensional systems
to the Zeno subspace, where subsequent evolution is unitary due to the suppression of …

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