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 …

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 …

Insights into complex phenomena in quantum matter can be gained from simulation
experiments with ultracold atoms, especially in cases where theoretical characterization is …

We consider a spinless ultracold Fermi gas tightly trapped along the axis of an optical
resonator and transversely illuminated by a laser closely tuned to a resonator mode. At a …

We investigate an extension of the quantum Ising (QI) model in one spatial dimension
including long-range $1/{r}^{\alpha} $ interactions in its statics and dynamics with possible …

We experimentally study the stability of a bosonic Mott insulator against the formation of a
density wave induced by long-range interactions and characterize the intrinsic dynamics …

We analyze the ground-state entanglement entropy of the extended Bose-Hubbard model
with infinite-range interactions. This model describes the low-energy dynamics of ultracold …

We show that a one-dimensional Hubbard model with all-to-all coupling may exhibit many-
body localization in the presence of local disorder. We numerically identify the parameter …

We study fermions that are gauge coupled to a cavity mode via Raman-assisted hop** in
a one-dimensional lattice. For an infinite lattice, we find a superradiant phase with an …