The purpose of this overview paper, which can be viewed as a supplement to our previous
review on quantum rings [S. Viefers et al., Physica E 21 (2004), 1–35], is to highlight the …

We consider the real-time dynamics of an initially localized distinguishable impurity injected
into the ground state of the Lieb-Liniger model. Focusing on the case where integrability is …

We show that a phase-only spatial light modulator can be used to generate non-trivial light
distributions suitable for trapping ultracold atoms, when the hologram calculation is included …

Yrast states are the lowest energy states at given non-zero momentum and provide a natural
extension of the concept of dark solitons to strongly interacting one-dimensional quantum …

Describing properties of a strongly interacting quantum many-body system poses a serious
challenge both for theory and experiment. In this work, we study excitations of one …

Recurrence time is evaluated for some initial quantum states in the one-dimensional Bose
gas with repulsive short-range interactions. In the relatively strong and weak coupling cases …

Dark soliton solutions in the one-dimensional classical nonlinear Schrödinger equation
have been considered to be related to the yrast states corresponding to the type-II …

We study how dark solitons, ie, solutions of one-dimensional, single-particle, nonlinear, time-
dependent Schrödinger equation, emerge from eigenstates of a linear many-body model of …

Background: The Hartree-Fock mean-field approximation is standard in combination with
energy density functionals (EDF) that account for some dynamical correlations. Breaking …

Quantum vortices play an important role in the physics of two-dimensional quantum many-
body systems, though they usually are understood in the single-particle framework like the …