Open Luttinger liquids

TL;DR

This paper investigates how dissipation from an active environment influences the response and correlation functions of Luttinger liquids, highlighting the role of zero mode physics in these effects.

Contribution

It introduces a detailed analysis of dissipation effects on Luttinger liquids and emphasizes the significance of zero mode physics in this context.

Findings

Dissipation alters the exponents of correlation functions.

Exchange of particles, energy, and momentum impacts Luttinger liquid properties.

Zero mode physics plays a crucial role in dissipation effects.

Abstract

We study the problem of Luttinger liquids interacting with an active environment. We are particularly interested in how dissipation affects the response and correlation functions of non-isolated Luttinger liquids. We show that the exchange of particles, energy, and momentum lead to changes in the exponents characterizing the various correlations functions. We discuss the importance of the zero mode physics in this context.