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 …

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 …

Multimode optical cavities can be used to implement interatomic interactions which are
highly tunable in strength and range. For bosonic atoms trapped in an optical lattice we …

We investigate harmonically trapped, laser-pumped bosons with infinite-range interactions
induced by a dissipative high-finesse red-detuned optical cavity with numerical and …

We consider a quasi-two-dimensional atomic Bose-Einstein condensate interacting with a
near-resonant laser field that is backreflected onto the condensate by a planar mirror. We …

We investigate the full quantum evolution of ultracold interacting bosonic atoms on a chain
and coupled to an optical cavity. Extending the time-dependent matrix product state …

Two types of long-range interactions, dipolar interaction and cavity-mediated interaction,
lead to exotic quantum phases. Both interactions were realized and observed in optical …

We numerically study the phase diagram of bosons tightly trapped in the lowest band of an
optical lattice and dispersively coupled to a single-mode cavity field. The dynamics is …

We investigate a two-dimensional Bose-Einstein condensate that is optically driven via a
retro-reflecting mirror, forming a single optical feedback loop. This induces a peculiar type of …