Quantum Quenches in the Luttinger model and its close relatives

TL;DR

This paper surveys quantum quenches in the Luttinger model, focusing on post-quench correlations, steady states, and experimental relevance, highlighting analytical and numerical comparisons and universality issues.

Contribution

It provides a comprehensive, pedagogical overview of quantum quenches in the Luttinger model, including both sudden and smooth interaction changes, and discusses their experimental implications.

Findings

Steady states are described by a generalized Gibbs ensemble.

Analytical and numerical results are compared for various quench protocols.

The work discusses the universality of post-quench dynamics in Luttinger-like systems.

Abstract

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. Wherever possible, our approach is pedagogical and self-contained. This work is dedicated to the memory of our colleague Alejandro Muramatsu.