Fractional Quantum Hall edge dynamics from a Quantum Optics perspective

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.