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 …

Quantum theory provides an extensive framework for the description of the equilibrium
properties of quantum matter. Yet experiments in quantum simulators have now opened up …

The approach to thermal equilibrium, or thermalization, in isolated quantum systems is
among the most fundamental problems in statistical physics. Recent theoretical studies have …

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 theoretically study the dynamics of a transverse-field Ising chain with power-law
decaying interactions characterized by an exponent α, which can be experimentally realized …

We combine the density matrix renormalization group (DMRG) with matrix product state
tangent space concepts to construct a variational algorithm for finding ground states of one …

In these lecture notes we give a technical overview of tangent-space methods for matrix
product states in the thermodynamic limit. We introduce the manifold of uniform matrix …

Particles subject to confinement experience an attractive potential that increases without
bound as they separate. A prominent example is colour confinement in particle physics, in …

Nonequilibrium quantum many-body systems, which are difficult to study via classical
computation, have attracted wide interest. Quantum simulation can provide insights into …

We study the quasiparticle excitation and quench dynamics of the one-dimensional
transverse-field Ising model with power-law (1/r α) interactions. We find that long-range …