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

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 …

The recent experimental realization of strongly imbalanced mixtures of ultracold atoms
opens new possibilities for studying impurity dynamics in a controlled setting. In this paper …

Even though bulk metallic systems contain a very large number of strongly interacting
electrons, their properties are well described within Landau's Fermi liquid theory of non …

Interacting one-dimensional conductors with Rashba spin-orbit coupling are shown to
exhibit a spin-selective Peierls-type transition into a mixed spin-charge-density-wave state …

The space-and time-dependent response of many-body quantum systems is the most
informative aspect of their emergent behavior. The dynamical structure factor, experimentally …

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 …

The interaction between localized magnetic moments and the electrons of a one-
dimensional conductor can lead to an ordered phase in which the magnetic moments and …

We study the spectral function of interacting one-dimensional fermions for an integrable
lattice model away from half-filling. The divergent power-law singularity of the spectral …

We develop a form factor approach to the study of dynamical correlation functions of
quantum integrable models in the critical regime. As an example, we consider the quantum …