Quantum Quenches in the Luttinger model and its close relatives

Understand

A number of results on quantum quenches in the Luttinger and related models are surveyed with emphasis on post-quench correlations.

• For the Luttinger model and initial gaussian states, we discuss both sudden and smooth quenches of the interaction and the emergence of a steady state described by a generalized Gibbs ensemble.
• Comparisons between analytics and numerics, and the question of universality or lack thereof are also discussed.
• The relevance of the theoretical results to current and future experiments in the fields of ultracold atomic gases and mesoscopic systems of electrons is also briefly touched upon.