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 …

Laser-cooled and trapped atomic ions form an ideal standard for the simulation of interacting
quantum spin models. Effective spins are represented by appropriate internal energy levels …

In locally interacting quantum many-body systems, the velocity of information propagation is
finitely bounded, and a linear light cone can be defined. Outside the light cone, the amount …

We analyze the quantum phases, correlation functions and edge modes for a class of spin-
1/2 and fermionic models related to the one-dimensional Ising chain in the presence of a …

One-dimensional systems exhibiting a continuous symmetry can host quantum phases of
matter with true long-range order only in the presence of sufficiently long-range interactions …

Over the past few decades, tremendous efforts have been devoted to understanding self-
duality at the quantum critical point, which enlarges the global symmetry and constrains the …

We investigate the existence of topological phases in a dense two-dimensional atomic
lattice gas. The coupling of the atoms to the radiation field gives rise to dissipation and a …

Continuous symmetry breaking (CSB) in low-dimensional systems, forbidden by the Mermin-
Wagner theorem for short-range interactions, may take place in the presence of slowly …

Topological phonon polaritons (TPhPs) are highly protected and localized edge modes that
are capable of achieving a strong confinement of electromagnetic waves and immune to …

We discover novel topological effects in the one-dimensional Kitaev chain modified by long-
range Hamiltonian deformations in the hop** and pairing terms. This class of models …