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 …

Interactions between quasiparticles mediated by a surrounding environment are ubiquitous
and lead to a range of important effects from collective modes of low-temperature quantum …

Quasicrystals exhibit exotic properties inherited from the self-similarity of their long-range
ordered, yet aperiodic, structure. The recent realization of optical quasicrystal lattices paves …

Experimental platforms based on ultracold atomic gases have significantly advanced the
quantum simulation of complex systems, yet the exploration of phenomena driven by long …

We study the low-temperature phases of interacting bosons on a two-dimensional
quasicrystalline lattice. By means of numerically exact path integral Monte Carlo simulations …

This article discusses self-organization in cold atoms via light-mediated interactions induced
by feedback from a single retro-reflecting mirror. Diffractive dephasing between the pump …

We study a one-dimensional array of bosons with infinite-range interactions mediated by a
laser-driven dissipative optical cavity. The cavity-mediated infinite-range interactions open …

The prominent Dicke superradiant phase arises from coupling an ensemble of atoms to a
cavity optical field when an external optical pum** exceeds a threshold strength. Here we …

Energy bands of electrons in a square lattice potential threaded by a uniform magnetic field
exhibit a fractal structure known as the Hofstadter butterfly. Here we study a Fermi gas in a …

Although crystallization is a ubiquitous phenomenon in nature, crystal formation and melting
still remain fascinating processes with several open questions yet to be addressed. In this …