Quantum fluctuation theorem in an interacting setup: point contacts in fractional quantum Hall edge state devices

TL;DR

This paper verifies the fluctuation theorem in a strongly correlated quantum system, specifically charge transfer in fractional quantum Hall edge states, by developing an analytical method for full counting statistics across various parameters.

Contribution

It introduces a new analytical approach to compute full counting statistics in a strongly correlated quantum impurity problem, validating the fluctuation theorem in this context.

Findings

Fluctuation theorem holds for charge transfer in fractional quantum Hall systems.

Developed an analytical method for full counting statistics in chiral Luttinger liquids.

Results applicable across diverse temperature, voltage, and gate voltage regimes.

Abstract

We verify the validity of the Cohen-Gallavotti fluctuation theorem for the strongly correlated problem of charge transfer through an impurity in a chiral Luttinger liquid, which is realizable experimentally as a quantum point contact in a fractional quantum Hall edge state device. This is accomplished via the development of an analytical method to calculate the full counting statistics (FCS) of the problem in all the parameter regimes involving the temperature, the Hall voltage, and the gate voltage.