An important goal of modern condensed-matter physics involves the search for states of
matter with emergent properties and desirable functionalities. Although the tools for material …

Floquet systems are governed by periodic, time-dependent Hamiltonians. Prima facie they
should absorb energy from the external drives involved in modulating their couplings and …

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 …

We report on the realization of long-range Ising interactions in a cold gas of cesium atoms by
Rydberg dressing. The interactions are enhanced by coupling to Rydberg states in the …

We construct a class of period-n-tupling discrete time crystals based on Z n clock variables,
for all the integers n. We consider two classes of systems where this phenomenology occurs …

Discrete time crystals are a many-body state of matter where the extensive system's
dynamics are slower than the forces acting on it. Nowadays, there is a growing debate …

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 study the effects of quenched disorder in a class of quantum chains with (p+ 1)-multispin
interactions exhibiting a free fermionic spectrum, paying special attention to the case p= 2 …

The statistics of gap ratios between consecutive energy levels is a widely used tool—in
particular, in the context of many-body physics—to distinguish between chaotic and …

The strong disorder RG approach for random systems has been extended in many new
directions since our previous review of 2005 [F. Igloi, C. Monthus, Phys. Rep. 412, 277 …