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

A quantum simulator is a type of quantum computer that controls the interactions between
quantum bits (or qubits) in a way that can be mapped to certain quantum many-body …

We overview the concept of dynamical phase transitions (DPTs) in isolated quantum
systems quenched out of equilibrium. We focus on non-equilibrium transitions characterized …

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 …

The topological θ-angle in gauge theories engenders a series of fundamental phenomena,
including violations of charge-parity (CP) symmetry, dynamical topological transitions, and …

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 …