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 …

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 …

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 …

Motivated by experiments observing self-organization of cold atoms in optical cavities, we
investigate the collective dynamics of the associated nonequilibrium Dicke model. The …

The quantum phase transition of the Dicke model has been observed recently in a system
formed by motional excitations of a laser-driven Bose-Einstein condensate coupled to an …

Many effects in the interaction between atoms and a cavity that are usually described in
quantum mechanical terms (cavity quantum electrodynamics, cavity QED) can be …

We show that applying feedback and weak measurements to a quantum system induces
phase transitions beyond the dissipative ones. Feedback enables controlling essentially …

We study a system with competing short-and global-range interactions in the framework of
the Bose-Hubbard model. Using a mean-field approximation we obtain the phase diagram …

The self-organization of a Bose-Einstein condensate (BEC) in a transversely pumped optical
cavity is a process akin to crystallization: when pumped by a laser of sufficient intensity, the …