Work Extracting From Nonextensive Small System With Feedback and Second Law-Like Inequalities with Quantum Tsallis Entropy

TL;DR

This paper explores the use of Tsallis entropy in nonextensive small systems, deriving inequalities and bounds for work extraction, and integrating quantum feedback control to enhance thermodynamic processes.

Contribution

It introduces a Tsallis entropy-based framework for work extraction bounds and incorporates quantum feedback control in nonextensive thermodynamics.

Findings

Derived Tsallis form of Clausius inequality

Established upper bounds for work extraction

Integrated quantum feedback control with Maxwell's demon

Abstract

Gibbs-Boltzmann entropy leads to systems that have a strong dependence on initial conditions. In reality, most materials behave quite independently of initial conditions. Nonextensive entropy or Tsallis entropy leads to nonextensive statistical mechanics. In this paper, we calculate the Tsallis form of Clausius inequality and then determine the upper bound for extracting work from the small system in the nonextensive statistical mechanics with mutual information. In the following, we extract mutual information and adjust Maxwell's demon with quantum feedback control.