Extended Local Ergotropy
Riccardo Castellano1,2,3, Donato Farina2,4, Vittorio Giovannetti5
1<a href="https://ror.org/03aydme10">Scuola Normale Superiore</a>, I-56126 Pisa, Italy.
Physical Review Letters
|October 25, 2024
Summary
We introduce extended local ergotropy to quantify work extraction in open quantum systems. This new measure is greater and nonincreasing in time, unlike previous methods, unlocking more potential work.
Area of Science:
- Quantum Thermodynamics
- Quantum Information Theory
Background:
- Quantifying extractable work from out-of-equilibrium systems is crucial in quantum thermodynamics.
- Existing methods for open systems, like local ergotropy, face challenges such as not being time-nonincreasing.
Purpose of the Study:
- To introduce a novel measure, extended local ergotropy, for quantifying work extraction in open quantum systems.
- To address the limitations of existing local ergotropy definitions.
Main Methods:
- Exploiting the free evolution of the combined system-environment.
- Developing protocols involving alternated local unitaries and system-environment interactions.
- Utilizing the Jaynes-Cummings model for practical examples.
Main Results:
- Extended local ergotropy is greater than local ergotropy.
- Extended local ergotropy is guaranteed to be nonincreasing in time.
- This new measure activates greater work extraction potential in several cases.
Conclusions:
- Extended local ergotropy offers a more robust and effective way to quantify work extraction in open quantum systems.
- The proposed methods, demonstrated with the Jaynes-Cummings model, provide practical protocols and analytic insights.
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