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 …

We review the imaginary time path integral approach to the quench dynamics of conformal
field theories. We show how this technique can be applied to the determination of the time …

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 …

We give a pedagogical introduction to the methodology of the Quench Action, which is an
effective representation for the calculation of time-dependent expectation values of physical …

We investigate the dynamics following a global parameter quench for two one-dimensional
models with variable-range power-law interactions: a long-range transverse Ising model …

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 …

Motivated directly by recent trapped-ion quantum simulation experiments, we carry out a
comprehensive study of the phase diagram of a spin-1 chain with XXZ-type interactions that …

A bstract We study different aspects of quantum entanglement and its measures, including
entanglement entropy in the vacuum state of a certain Lifshitz free scalar theory. We present …

A number of results on quantum quenches in the Luttinger and related models are surveyed
with emphasis on post-quench correlations. For the Luttinger model and initial gaussian …