Turkish Journal of Physics
Abstract
The Gibbs-Boltzmann entropy effectively characterizes systems with a significant reliance on initial conditions. Nonetheless, the majority of materials generally exhibit behavior that is independent of their initial conditions. Conversely, Tsallis entropy—a nonextensive entropy that underpins nonextensive statistical mechanics—provides a comprehensive framework for modeling systems that engage with their environment. In this study, we derive the Tsallis formulation of the Clausius inequality in a quantum context and establish an upper limit for the work that can be extracted from a small system within the framework of nonextensive quantum statistical mechanics. Furthermore, by utilizing a principle from quantum information theory—which posits that the erasure of a single bit of information corresponds to the dissipation of a specific quantity of energy into the environment—we formulate an inequality for the erasure process in nonextensive systems. This principle corresponds with the physical law that entropy can be transformed into heat. Additionally, we derive mutual information and integrate quantum feedback control to enhance Maxwell’s demon. Ultimately, we extend the second law of thermodynamics to information processes through the application of Tsallis entropy.
DOI
10.55730/1300-0101.2781
Keywords
Quantum thermodynamics, Tsallis entropy, second law of thermodynamics, quantum feedback control
First Page
142
Last Page
158
Publisher
The Scientific and Technological Research Council of Türkiye (TÜBİTAK)
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
MIRZAEE, M, & AMIRI, S (2025). Work extracting and second law-like inequalities from non-extensive small systems with feedback. Turkish Journal of Physics 49 (4): 142-158. https://doi.org/10.55730/1300-0101.2781
