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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
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Summary
This summary is machine-generated.

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.

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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.