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

Area of Science:

• Statistical mechanics
• Quantum information theory
• Thermodynamics

Background:

• Maxwell's demon is a thought experiment exploring the relationship between information and thermodynamics.
• Feedback-controlled systems offer a potential pathway to realizing demon-like behavior.
• Previous models often lack a direct link to information processing mechanisms.

Purpose of the Study:

• To construct a simple information ratchet (memory-tape) model of Maxwell's demon.
• To adapt a feedback-controlled quantum dot model into a memory-tape framework.
• To analyze the operational modes of the constructed information ratchet.

Main Methods:

• Conversion of the Annby-Andersson feedback-controlled double quantum dot model into a memory-tape model.
• Design of bit interaction rules based on the original model's network structure.
• Analytical solutions for long interaction times and semianalytical phase diagrams for finite-time interactions.
• Stochastic simulations for verification of theoretical findings.

Main Results:

• Successfully constructed an information ratchet model from a feedback-controlled system.
• Obtained analytical solutions in the long interaction time limit.
• Derived semianalytical phase diagrams illustrating operational modes for finite-time interactions.
• Validated theoretical results using stochastic simulations.

Conclusions:

• The developed strategy provides a straightforward method for creating memory-tape models of Maxwell's demon.
• The study demonstrates the utility of feedback-controlled models in information ratchet construction.
• The findings contribute to understanding the thermodynamics of information processing.