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 …

The presence of algebraically decaying long-range interactions may alter the critical as well
as topological behaviour of a quantum many-body systems. However, when the interaction …

We study the nonequilibrium dynamics of correlations in quantum lattice models in the
presence of long-range interactions decaying asymptotically as a power law. For exponents …

We present general and rigorous results showing that the microcanonical and canonical
ensembles are equivalent at all three levels of description considered in statistical …

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 …

The approach to equilibrium is studied for long-range quantum Ising models where the
interaction strength decays like r-α at large distances r with an exponent α not exceeding the …

Whether long-range interactions allow for a form of causality in nonrelativistic quantum
models remains an open question with far-reaching implications for the propagation of …

We study the time evolution of correlation functions in long-range interacting quantum Ising
models. For a large class of initial conditions, exact analytic results are obtained in arbitrary …

Slow quenches of the magnetic field across the paramagnetic-ferromagnetic phase
transition of spin systems produce heat. In systems with short-range interactions the heat …

Strong, long-range interactions present a unique challenge for the theoretical investigation
of quantum many-body lattice models, due to the generation of large numbers of competing …