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Related Experiment Video

Updated: Apr 27, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

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Work extraction and thermodynamics for individual quantum systems.

Paul Skrzypczyk1, Anthony J Short2, Sandu Popescu2

  • 1ICFO-Institut de Ciencies Fotoniques, Mediterranean Technology Park, 08860 Castelldefels, Barcelona, Spain.

Nature Communications
|June 28, 2014
PubMed
Summary
This summary is machine-generated.

We extended thermodynamics to individual quantum systems, proving the second law holds. A new protocol allows optimal work extraction, equal to free energy change, applicable to any quantum state.

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Area of Science:

  • Quantum thermodynamics
  • Statistical mechanics
  • Quantum information theory

Background:

  • Classical thermodynamics traditionally applies to macroscopic systems.
  • Extending thermodynamic laws to the quantum realm is a significant challenge.
  • Understanding quantum systems requires new theoretical frameworks.

Purpose of the Study:

  • To develop a framework for extending thermodynamics to individual quantum systems.
  • To prove the validity of the second law of thermodynamics for quantum systems.
  • To establish a protocol for optimal work extraction from quantum systems.

Main Methods:

  • Formulation of a theoretical framework including a thermal bath and work-storage device.
  • Mathematical proof of the second law of thermodynamics within the quantum framework.
  • Development of a protocol for reversible work extraction.

Main Results:

  • The second law of thermodynamics is shown to hold for individual quantum systems.
  • An optimal work extraction protocol is derived, yielding work equal to the change in free energy.
  • The protocol is applicable to quantum systems in arbitrary initial states, including non-equilibrium states.
  • The protocol's reversibility allows for the construction of a quantum Carnot engine.

Conclusions:

  • Thermodynamics can be rigorously extended to the quantum regime.
  • Optimal work extraction from quantum systems is achievable and quantifiable.
  • The developed framework provides a foundation for quantum heat engines and energy manipulation.