A twisted conformal field theory description of dissipative quantum mechanics

TL;DR

This paper establishes a connection between a twisted conformal field theory model for bilayer quantum Hall systems and dissipative quantum mechanics, providing a new framework to analyze impurity interactions in Hall systems.

Contribution

It introduces a novel CFT-based approach to describe dissipative quantum mechanics using the Twisted Model, linking it to boundary states and impurity interactions.

Findings

Equivalence between the Twisted Model and a system of massless bosons with magnetic boundary interaction.

Application of the framework to describe impurity interactions in Hall systems.

Development of boundary state descriptions for dissipative quantum systems.

Abstract

We show how the recently proposed CFT for a bilayer Quantum Hall system at filling nu=m/pm+2, the Twisted Model (TM), is equivalent to the system of two massless scalar bosons with a magnetic boundary interaction as introduced in Nucl. Phys. B443 (1995) 444, at the so called magic points. We are then able to describe, within such a framework, the dissipative quantum mechanics of a particle confined to a plane and subject to an external magnetic field normal to it. Such an analogy is further developed in terms of the TM boundary states, by describing the interaction between an impurity with a Hall system.