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

For many years, the Luttinger liquid theory has served as a useful paradigm for the
description of one-dimensional (1D) quantum fluids in the limit of low energies. This theory is …

One of the elementary processes in quantum magnetism is the propagation of spin
excitations. Here we study the quantum dynamics of a deterministically created spin-impurity …

We investigate dynamics of a single mobile impurity immersed in a bath of Anderson
localized particles and focus on the regime of relatively strong disorder and interactions. In …

In this paper, we demonstrate a recently developed technique which addresses the problem
of obtaining nonuniversal prefactors of the correlation functions of one-dimensional (1D) …

We develop a general approach to calculating “nonuniversal” prefactors in static and
dynamic correlation functions of one-dimensional (1D) quantum liquids at zero temperature …

We investigate the motion of an impurity particle injected with finite velocity into an
interacting one-dimensional quantum gas. Using large-scale numerical simulations based …

In this work we study the Kubo-Martin-Schwinger (KMS) relation in the Yang-Gaudin model
of an interacting mobile impurity. We use the integrability of the model to compute the …

We study the non-equilibrium dynamics of an impurity in a harmonic trap that is kicked with a
well-defined quasi-momentum, and interacts with a bath of free fermions or interacting …

We consider excitations with the quantum numbers of a hole in the one-dimensional
Hubbard model below half-filling. We calculate the finite-size corrections to the energy. The …