From a feedback-controlled demon to an information ratchet in a double quantum dot

TL;DR

This paper transforms a feedback-controlled double quantum dot system into an information ratchet model, providing analytical solutions and phase diagrams, advancing understanding of Maxwell's demon in quantum systems.

Contribution

It introduces a novel method to convert a feedback-controlled quantum dot model into an information ratchet, with analytical and semi-analytical solutions.

Findings

Analytical solution for the model in the long interaction time limit

Phase diagrams of operational modes for finite interaction times

Verification of theoretical results through stochastic simulations

Abstract

We present a simple strategy for constructing an information ratchet or memory-tape model of Maxwell's demon, from a feedback-controlled model. We illustrate our approach by converting the Annby-Andersson feedback-controlled double quantum dot model [Phys. Rev. B 101, 165404 (2020)] to a memory-tape model. We use the underlying network structure of the original model to design a set of bit interaction rules for the information ratchet. The new model is solved analytically in the limit of long interaction times. For finite-time interactions, semi-analytical phase diagrams of operational modes are obtained. Stochastic simulations are used to verify theoretical results.