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 study binary mixtures of ultracold atoms, confined to one dimension in an optical lattice,
with commensurate densities. Within a Luttinger liquid description, which treats various …

We investigate numerically the problem of few (one or two) noninteracting spin-1/2 fermions
in a shallow harmonic trap coupled via contact repulsive interactions to a uniform one …

We study two-component atomic gas mixtures in one dimension involving both bosons and
fermions. When the interspecies interaction is attractive, we report a rich variety of coherent …

Strongly interacting one-dimensional (1D) Bose–Fermi mixtures form a tunable XXZ spin
chain. Within the spin-chain model developed here, all properties of these systems can be …

We consider a two leg bosonic ladder in a U (1) gauge field with both interleg hopping and
interleg repulsion. As a function of the flux, the interleg interaction converts the …

Light-mass bipolarons in off-diagonally coupled electron-phonon systems provide a
potential route to bipolaronic high-Tc superconductivity. While there has been numerical …

We have considered one-dimensional Bose-Fermi mixture with equal densities and unequal
masses using numerical density matrix renormalization group. For the mass ratio of K-Rb …

Using quantum Monte Carlo simulations, we study a mixture of bosons and fermions loaded
on an optical lattice. With simple on-site repulsive interactions, this system can be driven into …

We consider two-component one-dimensional quantum gases with a density imbalance.
While generi<? format?> cally such fluids are two-component Luttinger liquids, we show that …