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 …

Non-equilibrium topological phenomena can be induced in quantum many-body systems
using time-periodic fields (for example, by laser or microwave illumination). This Review …

While Hermiticity lies at the heart of quantum mechanics, recent experimental advances in
controlling dissipation have brought about unprecedented flexibility in engineering non …

A fundamental distinction between many-body quantum states are those with short-and long-
range entanglement (SRE and LRE). The latter cannot be created by finite-depth circuits …

Spontaneous symmetry breaking is a fundamental concept in many areas of physics,
including cosmology, particle physics and condensed matter. An example is the breaking of …

Quantum many-body systems away from equilibrium host a rich variety of exotic phenomena
that are forbidden by equilibrium thermodynamics. A prominent example is that of discrete …

Time crystals are time-periodic self-organized structures postulated by Frank Wilczek in
2012. While the original concept was strongly criticized, it stimulated at the same time an …

Despite being forbidden in equilibrium, spontaneous breaking of time translation symmetry
can occur in periodically driven, Floquet systems with discrete time-translation symmetry …

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 …

We propose a general framework for using local measurements, local unitaries, and
nonlocal classical communication to construct quantum channels, which can efficiently …