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 …

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 …

Long-range interactions can fundamentally alter properties in gapped topological phases
such as emergent massive edge modes. However, recent research has shifted attention to …

Ensemble inequivalence, ie, the possibility of observing different thermodynamic properties
depending on the statistical ensemble which describes the system, is one of the hallmarks of …

We study the second-order phase transition in the d-dimensional Ising model with long-
range interactions decreasing as a power of the distance $1/r^{d+ s} $. For s below some …

A bstract We combine perturbation theory with analytic and numerical bootstrap techniques
to study the critical point of the long-range Ising (LRI) model in two and three dimensions …

Several recent experiments in atomic, molecular, and optical systems motivated a huge
interest in the study of quantum long-range systems. Our goal in this paper is to present a …

Dissipative time crystals can appear in spin systems, when the Z 2 symmetry of the
Hamiltonian is broken by the environment, and the square of total spin operator S 2 is …

We consider the question of conformal invariance of the long-range Ising model at the
critical point. The continuum description is given in terms of a nonlocal field theory, and the …

A bstract We study the critical properties of scalar field theories in d+ 1 dimensions with O
(N) invariant interactions localized on a d-dimensional boundary. By a combination of large …