This article reviews theoretical and experimental developments for one-dimensional Fermi
gases. Specifically, the experimentally realized two-component delta-function interacting …

We review the concepts and the present state of theoretical studies of spin-imbalanced
superfluidity, in particular the elusive Fulde–Ferrell–Larkin–Ovchinnikov (FFLO) state, in the …

Superconductivity and magnetism generally do not coexist. Changing the relative number of
up and down spin electrons disrupts the basic mechanism of superconductivity, where …

We calculate the density profiles of a trapped spin-imbalanced Fermi gas with attractive
interactions in a one-dimensional optical lattice, using both the local-density approximation …

Using the time-dependent density matrix renormalization-group method and exact
diagonalization, we study the nonequilibrium dynamics of the one-dimensional Fermi …

We present a systematic investigation of attractive binary mixtures in the presence of both
spin-and mass-imbalance in one-dimensional setups described by the Hubbard model. After …

In this chapter we discuss the BCS–BEC crossover in one-dimensional Fermi gases. We
present exact results using the Bethe Ansatz as well as numerical calculations of the …

By using the numerically exact density-matrix renormalization group (DMRG) approach, we
investigate the ground states of harmonically trapped one-dimensional (1D) fermions with …

This article briefly reviews recent theoretical developments in quantum critical phenomena
in one-dimensional (1D) integrable quantum gases of cold atoms. We present a discussion …

The few-fermion atomic gas is an ideal setting to explore inhomogeneous superfluid pairing
analogous to the Larkin-Ovchinnikov state. Two up and one down-spin atom is the minimal …