Fractional Quantum Hall edge dynamics from a Quantum Optics perspective

TL;DR

This thesis introduces a quantum optics approach, using the Truncated Wigner Approximation, to model fractional quantum Hall edge dynamics, providing new insights and predictions for quasi-particle tunneling.

Contribution

It maps fractional quantum Hall tunneling into a stochastic classical field problem using quantum optics tools, offering a novel perspective and predictive capabilities.

Findings

Recovered key features of FQH physics

Predicted novel tunneling phenomena

Provided an intuitive physical picture

Abstract

The goal of this master thesis is to give a different perspective on the problem of quasi-particle tunneling in Fractional Quantum Hall liquids by using a typical Quantum Optics tool such as the Truncated Wigner Approximation. Our novel approach provides a mapping of the quasi-particle tunneling problem into a stochastic classical field problem. This offers an intuitive physical picture which allows us to recover non-trivial features of FQH physics and predict novel phenomena.