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

The dynamics of strongly interacting many-body quantum systems are notoriously complex
and difficult to simulate. A recently proposed theory called generalized hydrodynamics …

The achievement of Bose–Einstein condensation in ultra-cold vapours of alkali atoms has
given enormous impulse to the study of dilute atomic gases in condensed quantum states …

Understanding the effect of correlations in interacting many-body systems is one of the main
challenges in quantum mechanics. While the general problem can only be addressed by …

We investigate the zero-temperature properties of a superfluid Bose-Fermi mixture by
introducing a set of coupled Galilei-invariant nonlinear Schrödinger equations valid from …

A universal k− 4 decay of the large-momentum tails of the momentum distribution, fixed by
Tan's contact coefficients, constitutes a direct signature of strong correlations in a short …

We present an exact numerical study of the scaling of density and momentum distribution
functions of harmonically trapped one-dimensional bosons with repulsive contact …

Using quantum Monte Carlo (QMC) simulations we study the ground-state properties of the
one-dimensional fermionic Hubbard model in traps with an underlying lattice. Since due to …

We consider a mixture of one-dimensional strongly interacting Fermi gases with up to six
components, subjected to a longitudinal harmonic confinement. In the limit of infinitely strong …

We derive simple analytical expressions for the particle density ρ (r) and the kinetic energy
density τ (r) for a system of noninteracting fermions in a d-dimensional isotropic harmonic …