The physics of one-dimensional interacting bosonic systems is reviewed. Beginning with
results from exactly solvable models and computational approaches, the concept of bosonic …

We present an up-to-date survey of theoretical concepts and results in the field of one-
dimensional magnetism and of their relevance to experiments and real materials. Main …

We review recent developments in the physics of ultracold atomic and molecular gases in
optical lattices. Such systems are nearly perfect realisations of various kinds of Hubbard …

During the past 30 years there have been important and far reaching developments in the
study of nonlinear waves including" soliton equations", a class of nonlinear wave equations …

Conventional hydrodynamics describes systems with few long-lived excitations. In one
dimension, however, many experimentally relevant systems feature a large number of long …

Out-of-time-ordered correlators (OTOC) have been proposed to characterize quantum chaos
in generic systems. However, they can also show interesting behavior in integrable models …

Using the algebraic Bethe ansatz method, and the solution of the quantum inverse scattering
problem for local spins, we obtain multiple integral representations of the n-point correlation …

We consider the entanglement in the ground state of the XY model of an infinite chain.
Following Bennett, Bernstein, Popescu and Schumacher, we use the entropy of a sub …

Motivated by quantum quenches in spin chains, a one-dimensional toy-model of fermionic
particles evolving in imaginary-time from a domain-wall initial state is solved. The main …

We consider the one-dimensional XY quantum spin chain in a transverse magnetic field. We
are interested in the Renyi entropy of a block of L neighboring spins at zero temperature on …