Non-equilibrium dynamics of coupled Luttinger liquids

TL;DR

This paper investigates the non-equilibrium dynamics of two coupled Luttinger liquids after a tunneling quench, analyzing correlation functions and effective temperatures to understand their evolution.

Contribution

It provides a detailed analysis of the dynamics of coupled Luttinger liquids post-quench, including correlation functions and effective temperature emergence, extending previous work on 1D bosonic gases.

Findings

Correlation functions relevant for interference are computed.

Effective temperatures emerge during the dynamics.

The initial state is compared with previous splitting experiments.

Abstract

In this work we consider the dynamics of two tunnel coupled chains after a quench in the tunneling strength is performed and the two systems are let evolve independently. We describe the form of the initial state comparing with previous results concerning the dynamics after the splitting of a one-dimensional gas of bosons into two phase coherent systems. We compute different correlation functions, among which those that are relevant for interference measurements, and discuss the emergence of effective temperatures also in connection with previous works.