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 …

Time crystals are classified as discrete or continuous depending on whether they
spontaneously break discrete or continuous time translation symmetry. Although discrete …

We review the recent developments and the current status in the field of quantum-gas cavity
QED. Since the first experimental demonstration of atomic self-ordering in a system …

The Jaynes–Cummings Model (JCM) has recently been receiving increased attention as
one of the simplest, yet intricately nonlinear, models of quantum physics. Emphasising the …

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

The notion of spontaneous symmetry breaking has been well established to characterize
classical and quantum phase transitions of matter, such as condensation, crystallization or …

Nonstationary longtime dynamics was recently observed in a driven two-component Bose-
Einstein condensate coupled to an optical cavity [N. Dogra, M. Landini, K. Kroeger, L. Hruby …

Time crystals are many-body states that spontaneously break translation symmetry in time
the way that ordinary crystals do in space. While experimental observations have confirmed …

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 …