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 …

Coupling a quantum many-body system to an external environment dramatically changes its
dynamics and offers novel possibilities not found in closed systems. Of special interest are …

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 investigate many-body spin squeezing dynamics in an XXZ model with interactions that
fall off with distance r as 1/r α in D= 2 and 3 spatial dimensions. In stark contrast to the Ising …

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 …

We report recent progress on the phase space formulation of quantum mechanics with
coordinate‐momentum variables, focusing more on new theory of (weighted) constraint …

In this paper, we prove a family of Lieb-Robinson bounds for discrete spin systems with long-
range interactions. Our results apply for arbitrary k-body interactions, so long as they decay …

We propose a protocol for preparing spin squeezed states in controllable atomic, molecular,
and optical systems, with particular relevance to emerging optical clock platforms compatible …

Quantum statistics and symmetrization dictate that identical fermions do not interact via s-
wave collisions. However, in the presence of spin–orbit coupling (SOC), fermions prepared …

Understanding quantum thermalization through entanglement build up in isolated quantum
systems addresses fundamental questions on how unitary dynamics connects to statistical …