Miguel A. Cazalilla

TL;DR: The physics of one-dimensional interacting bosonic systems is reviewed in this paper, where the effects of various perturbations on the Tomonaga-Luttinger liquid state are discussed as well as extensions to multicomponent and out of equilibrium situations.

TL;DR: The evolution of correlations in the exactly solvable Luttinger model after a suddenly switched-on interaction is analytically studied and the critical exponent that characterizes the decay of the one-particle correlation function is different from the known equilibrium exponents.

TL;DR: In this article, the long-distance asymptotics of correlation functions of mesoscopic one-dimensional systems with periodic and open (Dirichlet) boundary conditions, as well as at finite temperature in the thermodynamic limit, are obtained using Haldane's harmonic-fluid approach (also known as 'bosonization'), and are valid for both bosons and fermions, in weakly and strongly interacting regimes.

TL;DR: In this article, the dynamics of the Luttinger model after a quantum quench is studied, and correlation functions for two types of quenches are computed in detail.

TL;DR: Recent experimental and theoretical progress on ultracold alkaline-earth Fermi gases with emergent SU(N) symmetry is reviewed and some of the challenges that lie ahead for the realization of such phases such as reaching the temperature scale required to observe magnetic and more exotic quantum orders are discussed.