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Optimal processes for probabilistic work extraction beyond the second law.

Vasco Cavina1, Andrea Mari1, Vittorio Giovannetti1

  • 1NEST, Scuola Normale Superiore and Istituto Nanoscienze-CNR, I-56126 Pisa, Italy.

Scientific Reports
|July 6, 2016
PubMed
Summary
This summary is machine-generated.

This study explores thermodynamic processes to maximize work extraction probability beyond classical bounds. Researchers identified an optimal protocol involving quantum discrete processes and thermalizations for enhanced work extraction.

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Area of Science:

  • Thermodynamics
  • Quantum Mechanics
  • Statistical Mechanics

Background:

  • The second law of thermodynamics sets bounds on average work extraction based on free energy.
  • Single thermodynamic processes exhibit statistical fluctuations, allowing probabilistic violations of these bounds.

Purpose of the Study:

  • To identify thermodynamic processes that maximize the probability of extracting work above a specified threshold.
  • To investigate methods for enhancing work extraction beyond classical thermodynamic limits.

Main Methods:

  • Derivation of an upper bound for work extraction probability for processes obeying the Jarzynski identity.
  • Analysis within the thermodynamic formalism of quantum discrete processes.
  • Identification of optimal protocols involving unitary quenches and thermalizations.

Main Results:

  • An upper bound for work extraction probability was determined, dependent on desired work extraction levels.
  • This bound can be saturated using specific quantum thermodynamic protocols.
  • The optimal protocol consists of two quasi-static isothermal transformations and a finite unitary quench.

Conclusions:

  • Quantum thermodynamics offers pathways to enhance work extraction probabilities beyond classical predictions.
  • The identified optimal protocol provides a concrete strategy for maximizing probabilistic work extraction.
  • This research has implications for understanding and manipulating energy at the quantum level.