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 consider quantum many-body dynamics under quantum measurements, where the
measurement-induced phase transitions (MIPs) occur when changing the frequency of the …

Majorana bound states are quasiparticle excitations localized at the boundaries of a
topologically nontrivial superconductor. They are zero-energy, charge-neutral, particle–hole …

The theory of random matrices originated half a century ago as a universal description of the
spectral statistics of atoms and nuclei, dependent only on the presence or absence of …

In locally interacting quantum many-body systems, the velocity of information propagation is
finitely bounded, and a linear light cone can be defined. Outside the light cone, the amount …

In nonrelativistic quantum theories with short-range Hamiltonians, a velocity v can be
chosen such that the influence of any local perturbation is approximately confined to within a …

We analyze the quantum phases, correlation functions and edge modes for a class of spin-
1/2 and fermionic models related to the one-dimensional Ising chain in the presence of a …

Local relaxation after a quench in 1D quantum many-body systems is a well-known and very
active problem with rich phenomenology. Except in pathological cases, the local relaxation …

We present a platform for the simulation of quantum magnetism with full control of
interactions between pairs of spins at arbitrary distances in 1D and 2D lattices. In our …