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 …

For systems with long-range interactions, the two-body potential decays at large distances
as V (r)∼ 1/rα, with α≤ d, where d is the space dimension. Examples are: gravitational …

On a large class of lattices (such as the sawtooth chain, the kagome and the pyrochlore
lattices), the quantum Heisenberg and the repulsive Hubbard models may host a completely …

Long-lived quasi-stationary states (QSSs) are a signature characteristic of long-range
interacting systems both in the classical and in the quantum realms. Often, they emerge after …

It is generally believed that, in the thermodynamic limit, the microcanonical description as a
function of energy coincides with the canonical description as a function of temperature …

Projections of bipartite or two-mode networks capture co-occurrences, and are used in
diverse fields (eg, ecology, economics, bibliometrics, politics) to represent unipartite …

Monopartite projections of bipartite networks are useful tools for modeling indirect
interactions in complex systems. The standard approach to identify significant links is …

Many real networks feature the property of nestedness, ie the neighbours of nodes with a
few connections are hierarchically nested within the neighbours of nodes with more …

We study inequivalence of canonical and microcanonical ensembles in the mean-field
Blume-Emery-Griffiths model. This generalizes previous results obtained for the Blume …